The Baudhayana-Pythagoras Theorem: Practice 4

Section A: Core Practice

Question 1mcq

A right triangle has hypotenuse

13

cm and one leg

5

cm. What is the other leg?

A.

18

B.

13

C.

8

D.

12

Question 2mcq

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.Compare

a^2+b^2

with

c^2

, using the longest side as

c

.

D.Check whether all sides are equal.

Question 3mcq

A right triangle has legs

8

cm and

15

cm. What is the hypotenuse?

A.

7

B.

23

C.

18

D.

17

Question 4mcq

A right triangle has legs

7

cm and

24

cm. What is the hypotenuse?

A.

31

B.

17

C.

26

D.

25

Question 5mcq

Do side lengths

6

,

8

, and

10

form a right triangle?

A.Yes, it can be a right triangle.

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

C.Yes, because all triangles are right triangles.

D.Cannot be checked using squares.

Question 6mcq

A rectangular park is

12

m by

16

m. What is the length of the diagonal path?

A.

4

m

B.

28

m

C.

20

m

D.

22

m

Section B: Reasoning and Application

Question 7mcq

A rectangular park is

20

m by

21

m. What is the length of the diagonal path?

A.

41

m

B.

29

m

C.

1

m

D.

31

m

Question 8mcq

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 applies only to right triangles.

D.The theorem is only for equilateral triangles.

Question 9mcq

A right triangle has hypotenuse

13

cm and one leg

5

cm. What is the other leg?

A.

18

B.

13

C.

8

D.

12

Question 10mcq

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

A.Check whether all sides are equal.

B.Add all three side lengths.

C.Compare

a^2+b^2

with

c^2

, using the longest side as

c

.

D.Use the shortest side as the hypotenuse.

Question 11mcq

A right triangle has legs

8

cm and

15

cm. What is the hypotenuse?

A.

18

B.

17

C.

7

D.

23

Question 12mcq

A right triangle has legs

7

cm and

24

cm. What is the hypotenuse?

A.

25

B.

31

C.

26

D.

17