The Baudhayana-Pythagoras Theorem: Practice 3

Section A: Core Practice

Question 1mcq

A rectangular park is

20

m by

21

m. What is the length of the diagonal path?

A.

41

m

B.

29

m

C.

31

m

D.

1

m

Question 2mcq

A student uses

a^2+b^2=c^2

for every triangle. What is the misconception?

A.The theorem is only for equilateral triangles.

B.The theorem applies only to squares.

C.The theorem applies only to right triangles.

D.The theorem never uses side lengths.

Question 3mcq

A right triangle has hypotenuse

13

cm and one leg

5

cm. What is the other leg?

A.

18

B.

8

C.

12

D.

13

Question 4mcq

Which method correctly tests whether three side lengths make a right triangle?

A.Add all three side lengths.

B.Use the shortest side as the hypotenuse.

C.Check whether all sides are equal.

D.Compare

a^2+b^2

with

c^2

, using the longest side as

c

.

Question 5mcq

A right triangle has legs

8

cm and

15

cm. What is the hypotenuse?

A.

18

B.

17

C.

7

D.

23

Question 6mcq

A right triangle has legs

7

cm and

24

cm. What is the hypotenuse?

A.

17

B.

31

C.

26

D.

25

Section B: Reasoning and Application

Question 7mcq

Do side lengths

6

,

8

, and

10

form a right triangle?

A.Yes, because all triangles are right triangles.

B.Yes, it can be a right triangle.

C.Cannot be checked using squares.

D.No, because the longest side is never used.

Question 8mcq

A rectangular park is

12

m by

16

m. What is the length of the diagonal path?

A.

28

m

B.

4

m

C.

20

m

D.

22

m

Question 9mcq

A rectangular park is

20

m by

21

m. What is the length of the diagonal path?

A.

41

m

B.

1

m

C.

29

m

D.

31

m

Question 10mcq

A student uses

a^2+b^2=c^2

for every triangle. What is the misconception?

A.The theorem never uses side lengths.

B.The theorem applies only to squares.

C.The theorem is only for equilateral triangles.

D.The theorem applies only to right triangles.

Question 11mcq

A right triangle has hypotenuse

13

cm and one leg

5

cm. What is the other leg?

A.

13

B.

12

C.

18

D.

8

Question 12mcq

Which method correctly tests whether three side lengths make a right triangle?

A.Compare

a^2+b^2

with

c^2

, using the longest side as

c

.

B.Use the shortest side as the hypotenuse.

C.Add all three side lengths.

D.Check whether all sides are equal.