Question

An acute triangle has two sides measuring 8 cm and 10 cm. What is the best repres

for the third side, s?
O 2 O 6«s< 12.8
os<2ors > 18
os<6ors > 12.8

Answer 1

2 < s < 18

Explanation:

If we know 2 sides of a triangle to be A & B and let the third side be C, the triangle inequality theorem tells us:

A - B < C < A + B

This means that the third side can take values between the sum and difference of the lengths of the other 2 sides.

So simply, we have

10 - 8 = 2

and

10 + 8 = 18

Hence, the third side can have lengths between 2 and 18

Let third side be s, so we can write:

2 < s < 18