The Baudhayana-Pythagoras Theorem: Final Assessment

Section A: Concepts

Question 1mcq

A right triangle has legs

3

cm and

4

cm. What is the hypotenuse?

A.

5

B.

7

C.

6

D.

1

Question 2mcq

A right triangle has legs

5

cm and

12

cm. What is the hypotenuse?

A.

14

B.

13

C.

7

D.

17

Question 3mcq

Do side lengths

9

,

12

, and

15

form a right triangle?

A.Yes, because all triangles are right triangles.

B.Cannot be checked using squares.

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

D.Yes, it can be a right triangle.

Question 4mcq

A rectangular park is

10

m by

24

m. What is the length of the diagonal path?

A.

34

m

B.

14

m

C.

28

m

D.

26

m

Question 5mcq

A rectangular park is

9

m by

12

m. What is the length of the diagonal path?

A.

15

m

B.

21

m

C.

17

m

D.

3

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 squares.

C.The theorem applies only to right triangles.

D.The theorem is only for equilateral triangles.

Question 7mcq

A right triangle has hypotenuse

17

cm and one leg

8

cm. What is the other leg?

A.

25

B.

15

C.

16

D.

9

Question 8mcq

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.

Section B: Skills

Question 9mcq

A right triangle has legs

5

cm and

12

cm. What is the hypotenuse?

A.

17

B.

7

C.

14

D.

13

Question 10mcq

A right triangle has legs

8

cm and

15

cm. What is the hypotenuse?

A.

23

B.

17

C.

18

D.

7

Question 11mcq

Do side lengths

7

,

8

, and

9

form a right triangle?

A.Yes, because all triangles are right triangles.

B.Cannot be checked using squares.

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

D.No, it cannot be a right triangle.

Question 12mcq

A rectangular park is

9

m by

12

m. What is the length of the diagonal path?

A.

3

m

B.

15

m

C.

17

m

D.

21

m

Question 13mcq

A rectangular park is

12

m by

16

m. What is the length of the diagonal path?

A.

20

m

B.

22

m

C.

28

m

D.

4

m

Question 14mcq

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 15mcq

A right triangle has hypotenuse

10

cm and one leg

6

cm. What is the other leg?

A.

16

B.

4

C.

8

D.

9

Question 16mcq

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

A.Add all three side lengths.

B.Compare

a^2+b^2

with

c^2

, using the longest side as

c

.

C.Check whether all sides are equal.

D.Use the shortest side as the hypotenuse.

Section C: Applications

Question 17mcq

A right triangle has legs

8

cm and

15

cm. What is the hypotenuse?

A.

17

B.

18

C.

7

D.

23

Question 18mcq

A right triangle has legs

7

cm and

24

cm. What is the hypotenuse?

A.

26

B.

25

C.

31

D.

17

Question 19mcq

Do side lengths

6

,

8

, and

10

form a right triangle?

A.Yes, because all triangles are right triangles.

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

C.Cannot be checked using squares.

D.Yes, it can be a right triangle.

Question 20mcq

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

Question 21mcq

A rectangular park is

20

m by

21

m. What is the length of the diagonal path?

A.

31

m

B.

41

m

C.

29

m

D.

1

m

Question 22mcq

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 23mcq

A right triangle has hypotenuse

13

cm and one leg

5

cm. What is the other leg?

A.

12

B.

13

C.

8

D.

18

Question 24mcq

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

A.Add all three side lengths.

B.Check whether all sides are equal.

C.Compare

a^2+b^2

with

c^2

, using the longest side as

c

.

D.Use the shortest side as the hypotenuse.

Section D: Reasoning

Question 25mcq

A right triangle has legs

7

cm and

24

cm. What is the hypotenuse?

A.

25

B.

17

C.

31

D.

26

Question 26mcq

A right triangle has legs

3

cm and

4

cm. What is the hypotenuse?

A.

5

B.

7

C.

1

D.

6

Question 27mcq

Do side lengths

5

,

6

, and

7

form a right triangle?

A.No, it cannot 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 28mcq

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 29mcq

A rectangular park is

10

m by

24

m. What is the length of the diagonal path?

A.

34

m

B.

14

m

C.

28

m

D.

26

m

Question 30mcq

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 is only for equilateral triangles.

C.The theorem applies only to squares.

D.The theorem applies only to right triangles.

Question 31mcq

A right triangle has hypotenuse

25

cm and one leg

7

cm. What is the other leg?

A.

25

B.

18

C.

24

D.

32

Question 32mcq

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

A.Add all three side lengths.

B.Check whether all sides are equal.

C.Use the shortest side as the hypotenuse.

D.Compare

a^2+b^2

with

c^2

, using the longest side as

c

.