Question

A triangle has two side of lengths 10 and 14. What value could the length of the third side be?

Answer 1

If it’s a hypotenuse, the other side length is 17.2

Answer 2

Use the Pythagorean Theorem  $a^2 + b^2 = c^2$.

Since we have 2 sides we can easily solve for the third.

$c^2 = 10^2 + 14 ^2$

$c = \sqrt{100 + 196}$$= \sqrt{296}$ ≈$17.205$