Question

Which of these side lengths could form a triangle

A) 2 cm , 2 cm , 4 cm

B) 3 cm , 5 cm , 10 cm

C) 3 cm , 4 cm , 5 cm

D) 4 cm , 8 cm , 15 cm

Answer 1

The answer is C.) 3cm, 4cm, 5cm

Explanation:

The sum of any two sides of a triangle must be greater than the length of the third side. The only choice that fits this requirement is 3 cm, 4 cm, 5 cm.

Answer 2

C) 3 cm , 4 cm , 5 cm

Explanation:

Using process of elimination and Pythagora's Theorem, find which of the smaller sides, when their squares are found equal to the largest number squared.

A, B, & D are wrong because:

A: 4 + 4 ≠ 16

B: 9 + 25 ≠ 100

D: 16 + 64 ≠ 225

BUT CON THE OTHER HAND 9 + 16 = 25