Question

A triangle can have sides whose lengths are 9cm, 16 cm, and

(A) 7 cm
(B) 8 cm
(C) 25 cm
(D) 26 cm

Answer 1

Answer: (B) 8 cm

Explanation:

A triangle has 3 sides.

In order for it to be a triangle, the sum of sides a and b must be greater than the length of side c.

Testing (A) 7cm:

7 + 9 > 16

16 > 16

False

Testing (B) 8cm:

8+9 > 16

17 > 16

True

Testing (C) 25cm:

9 + 16 > 25

25 > 25

False

Testing (D) 26cm:

9 + 16 > 26

25 > 26

False