Question

Which are possible lengths of the sides of a right triangle?

A.
2 cm, 5 cm, 29 cm

B.
2 cm, 6 cm, 8 cm

C.
4 cm, 5 cm, 6 cm

D.
5 cm, 12 cm, 13 cm

Answer 1

A.

• 2 cm, 5 cm, 29 cm
• Not a triangle as 2 + 5 < 29
• No

B.

• 2 cm, 6 cm, 8 cm
• Not a triangle as 2 + 6 = 8
• No

C.

• 4 cm, 5 cm, 6 cm
• 4² + 5² = 41 > 36 = 6²
• No

D.

• 5 cm, 12 cm, 13 cm
• 5² + 12² = 169 = 13²
• Yes

Answer 2

answer:

A.

2 cm, 5 cm, 29 cm

for right angled triangle

2²+5² =29²

29=29²

false

B.

2 cm, 6 cm, 8 cm

for right angled triangle

2²+6²=8²

40=64

false

C.

4 cm, 5 cm, 6 cm

for right angled triangle

4²+5²=6²

41=36

false

D.

5 cm, 12 cm, 13 cm

5²+12²=13²

169=169

true

so.

possible lengths of the sides of a right triangle is:D.

D. 5 cm, 12 cm, 13 cm