The Baudhayana-Pythagoras Theorem: Practice 1

Section A: Core Practice

Question 1mcq

A right triangle has legs

8

cm and

15

cm. What is the hypotenuse?

A.

17

B.

7

C.

23

D.

18

Question 2mcq

A right triangle has legs

7

cm and

24

cm. What is the hypotenuse?

A.

17

B.

25

C.

31

D.

26

Question 3mcq

Do side lengths

6

,

8

, and

10

form a right triangle?

A.Cannot be checked using squares.

B.Yes, it can be a right triangle.

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

D.Yes, because all triangles are right triangles.

Question 4mcq

A rectangular park is

12

m by

16

m. What is the length of the diagonal path?

A.

22

m

B.

28

m

C.

20

m

D.

4

m

Question 5mcq

A rectangular park is

20

m by

21

m. What is the length of the diagonal path?

A.

29

m

B.

1

m

C.

31

m

D.

41

m

Question 6mcq

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 right triangles.

C.The theorem is only for equilateral triangles.

D.The theorem applies only to squares.

Section B: Reasoning and Application

Question 7mcq

A right triangle has hypotenuse

13

cm and one leg

5

cm. What is the other leg?

A.

8

B.

12

C.

18

D.

13

Question 8mcq

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

A.Check whether all sides are equal.

B.Use the shortest side as the hypotenuse.

C.Add all three side lengths.

D.Compare

a^2+b^2

with

c^2

, using the longest side as

c

.

Question 9mcq

A right triangle has legs

8

cm and

15

cm. What is the hypotenuse?

A.

18

B.

7

C.

23

D.

17

Question 10mcq

A right triangle has legs

7

cm and

24

cm. What is the hypotenuse?

A.

26

B.

25

C.

31

D.

17

Question 11mcq

Do side lengths

6

,

8

, and

10

form a right triangle?

A.Cannot be checked using squares.

B.Yes, because all triangles are right triangles.

C.Yes, it can be a right triangle.

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

Question 12mcq

A rectangular park is

12

m by

16

m. What is the length of the diagonal path?

A.

4

m

B.

20

m

C.

28

m

D.

22

m