Mathematics plays an important role in studying plane shapes and geometry. When they are in elementary school (SD), they will learn about the Pythagorean theorem. The Pythagorean theorem discusses important mathematical relationships in the field of geometry, especially in right triangles.

Learning it is quite easy with various approaches. Your little one can understand the basic concepts, provide visualizations, memorize basic formulas, and practice questions frequently every day.

Mothers need to practice questions every day to understand the concept of the Pythagorean theorem and sharpen their knowledge in the field of geometry. The following are 20 examples of Pythagorean theorem questions, answer keys and discussions, quoted from the Elementary Mathematics book Theory Summary-Practice Questions & Discussion-Evaluation, Kawan Pustaka publisher. Come on, read in full, Mother!

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## 10 Examples of SD/MI multiple choice Pythagorean theorem questions, answer key and discussion

1. A plot of land is in the shape of a right triangle, the length of the hypotenuse is 35 m and the length of the base is 21 m. What is the height of the triangle?

a. 30

b. 25

c. 26

d. 28

Discussion: Finding height using the Pythagorean theorem

c^2 = a^2 + b^2

35^2 = a^2 + 21^2

a^2 = 35^2 – 21^2

= 1.225 – 441

= 784 squared to 28

Answer key: d. 28

2. A shape is a right triangle, the length of the hypotenuse is 10 m and the length of the base is 8 m. How wide is the building?

a. 12

b. 24

c. 6

d. 8

Discussion: Finding height using the Pythagorean theorem

c^2 = a^2 + b^2

10^2 = a^2 + 8^2

a^2 = 10^2 + 8^2

= 100 – 64

= 36 squared to 6

Area of triangle = base x height : 2

= 8 x 6 : 2

= 48 : 2

= b. 24

Answer key: b. 24

3. A right triangle has a hypotenuse length of 13 m and a base length of 5 m. What is the perimeter of the triangle?

a. 20

b. 25

c. 30

d. 15

Discussion: Finding height using the Pythagorean theorem

c^2 = a^2 + b^2

13^2 = a^2 + 5^2

a^2 = 13^2 + 5^2

= 169 – 25

= 144 squared to 12

Perimeter of a triangle = base + height + hypotenuse

= a + b + c

= 5 + 12 + 13

= c. 30

Answer key: c. 30

4. A right triangle has a height of 9 m and a base length of 12 m.

What is the hypotenuse of the triangle?

a. 13

b. 16

c. 17

d. 15

Discussion: Finding the length of the hypotenuse using the Pythagorean theorem

c^2 = a^2 + b^2

c^2 = 9^2 + 12^2

c^2 = 81 + 144

= 225 squared to 15

Answer key: d.15

5. A plot of land has the shape of a right triangle, the length of the base is 48 m and the height is 14 m. What is the circumference of the land?

a. 50

b. 112

c. 106

d. 100

Discussion: Finding the length of the hypotenuse using the Pythagorean theorem

c^2 = a^2 + b^2

c^2 = 48^2 + 14^2

c^2 = 2304 + 196

c = 2500 squared to 50

c = 50

Perimeter of a triangle = base + height + hypotenuse

= a + b + c

= 48 + 14 + 50

= b. 112

Answer key: b. 112

6. A plot of land is in the shape of a right triangle, the length of the base is 24 m and the hypotenuse is 26 m. What is the perimeter of the land?

a. 50

b. 55

c. 60

d. 65

Discussion: Finding height using the Pythagorean theorem

c^2 = a^2 + b^2

26^2 = 24^2 + b^2

676 = 576 + b^2

b^2 = 676 – 576

b^2 = 100 then take the square root to 10

b = 10 m

Perimeter of a triangle = base + height + hypotenuse

= a + b + c

= 24 + 10 + 26

= 60

Answer key: c. 60

7. The swimming pool is shaped like a right triangle, the length of the hypotenuse is 34 m and the height is 16 m. How big is the pool?

a. 200

b. 220

c. 230

d. 240

Discussion: Finding the length of the base using the Pythagorean theorem

c^2 = a^2 + b^2

34^2 = a^2 + 16^2

1156 = a^2 + 256

a^2 = 1156 – 256

a^2 = 900 then square root to 30

a = 30

Area of triangle = base x height : 2

= 30 x 16 : 2

= 480 : 2

= d. 240

Answer key: d. 240

8. A ladder is in the shape of a right triangle, height 9 m, base length 12 m. How wide is the staircase?

a. 54

b. 56

c. 57

d. 58

Discussion: Area of triangle = base x height : 2

= 12 x 9 : 2

= 108 : 2

= a. 54

Answer key: a. 54

9. A football field in the shape of a right triangle has an area of 84 square meters, the length of the base is 24 m. What is the sloping side of the field?

a. 28

b. 27

c. 26

d. 25

Discussion: Area of triangle = base x height : 2

84 = 24 x height : 2

height = 84 : 24 x 2

height = 3.5 x 2

height = 7 m

Find the length of the hypotenuse using the Pythagorean theorem

c^2 = a^2 + b^2

c^2 = 24^2 + 7^2

c^2 = 576 + 49

c^2 = 625 then square root becomes 25

c = d. 25

Answer key: d. 25

10. Dino saw an electricity pole and formed a right triangle with an area of 24 square meters, the length of the base was 6 m. What is the perimeter of the triangle?

a. 25

b. 26

c. 24

d. 27

Discussion: Area of triangle = base x height : 2

24 = 6 x height : 2

height = 24 : 6 x 2

height = 4 x 2

height = 8 m

Find the length of the hypotenuse using the Pythagorean theorem

c^2 = a^2 + b^2

c^2 = 6^2 + 8^2

c^2 = 36 + 64

c^2 = 100 then take the square root to 10

c = 10

Perimeter of a triangle = base + height + hypotenuse

= a + b + c

= 6 + 8 + 10 = c. 24

Answer key: c. 24

## 10 examples of SD/MI Pythagorean theorem essay questions, answer key and discussion

1. A ruler in the shape of a right triangle has a base length of 15 m, height 24. What is the area of the ruler?

Discussion: Area of triangle = base x height : 2

= 15 x 24 : 2

= 360 : 2

= 180 square meters

Answer key: 180 square meters

2. The basketball court is in the shape of a right triangle, the length of the base is 72 m, the hypotenuse is 75 m. How big is the field?

Finding height using the Pythagorean theorem

c^2 = a^2 + b^2

75^2 = 72^2 + b^2

b^2 = 5625 – 5184

b^2 = 441 then square root becomes 21

b = 21 m

Area of triangle = base x height : 2

= 72 x 21 : 2

= 1512 : 2

= 756 square meters

Answer key: 756 square meters

3. Rina has a triangular bookshelf with an area of 384 square meters, the length of the base is 32 m. What is the circumference of the bookshelf?

Discussion: Area of triangle = base x height : 2

384 = 32 x height : 2

height = 384 : 32 x 2

height = 12 x 2

= 24

Find the length of the hypotenuse using the Pythagorean theorem

c^2 = a^2 + b^2

c^2 = 32^2 + 24^2

c^2 = 1024 + 576

c^2 = 1600 then square root to 40

c = 40

Perimeter of bookshelf = base + height + slant

= a + b + c

= 32 + 24 + 40 = 96

Answer key: 96

4. A fish pond in the shape of a right triangle has a perimeter of 48 m, a base length of 12 m, a hypotenuse length of 20 m. How big is the fish pond?

Discussion: Perimeter of a triangle = base + height + hypotenuse

48 = 12 + height + 20

height = 48 – 12 – 20

= 16 m

Area of triangle = base x height : 2

= 12 x 16 : 2

= 192 : 2 = 96 square meters

Answer key: 96 square meters

5. The square is in the shape of a right triangle, the length of the base is 48 m, the hypotenuse is 52 m. How big is the field?

Discussion: Finding height using the Pythagorean theorem

c^2 = a^2 + b^2

52^2 = 48^2 + b^2

b^2 = 2704 – 2304

b^2 = 400 then square root becomes 20

b = 20 m

Area of triangle = base x height : 2

= 48 x 20 : 2

= 960 : 2

= 480 square meters

Answer key: 480 square meters

6. The horse stable is in the shape of a right triangle, the hypotenuse is 85 m long and the height is 45 m. What is the circumference of the cage?

Discussion: Finding the length of the base using the Pythagorean theorem

c^2 = a^2 + b^2

85^2 = a^2 + 45^2

a^2 = 7225 – 2025

a^2 = 5200 then square root becomes 72.1

a = 72,1 m

Perimeter of a triangle = base + height + hypotenuse

= 72,1 + 45 + 85

= 202,1 m

Answer key: 202.1 m

7. A ruler in the shape of a right triangle has a base length of 15 m, a height of 24. What is the length of the hypotenuse of the ruler?

Discussion: Finding the length of the hypotenuse using the Pythagorean theorem

c^2 = a^2 + b^2

c^2 = 15^2 + 24^2

c^2 = 225 + 576

c^2 = 801 then square root becomes 28.3

c = 28,3 m

Answer key: 28.3 m

8. Rinas has a chocolate bar in the shape of a right triangle, the length of the base is 35 m, the height is 51. How long is the hypotenuse of the ruler?

Discussion: Finding the length of the hypotenuse using the Pythagorean theorem

c^2 = a^2 + b^2

c^2 = 35^2 + 51^2

c^2 = 1225 + 2601

c^2 = 3826 then square root becomes 61.85

c = 61,85 m

Answer key: 61.85 m

9. Dina plays on a slide which is shaped like a right triangle, the length of the hypotenuse is 65 m, the height is 30 m. How long is the slide base?

Discussion: Finding the length of the base using the Pythagorean theorem

c^2 = a^2 + b^2

65^2 = a^2 + 30^2

a^2 = 4225 – 900

a^2 = 3325 then square root becomes 57.6

a = 57,6 m

Answer key: 57.6 m

10. Half past four o'clock hands form a right triangle, the length of the hypotenuse is 107 m, the length of the base is 51 m. How high is the slide?

Discussion: Finding height using the Pythagorean theorem

c^2 = a^2 + b^2

107^2 = 51^2 + b^2

b^2 = 11449 – 2601

b^2 = 8848 then square root becomes 94.06

b = 94,06 m

Answer key: 94.06 m

This is an example of a Pythagorean theorem question as material for your little one to practice at home. Hopefully your little one will become more adept at doing exam questions and get satisfactory exam results, Mother.

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