Question

The lengths of two sides of a right triangle are given. Find the length of the third side to the nearest tenth of a unit.

leg: 7 m; hypotenuse: 14 m

Answer 1

the length of the third side is 12.1m

Explanation:

by Pythagoras we know the relationship of the sides of a rectangular triangle that is given by the formula h^2 = l1^2 + l2^2

h = hypotenuse = 14m

l1 = leg1 = 7m

l2 = leg2

h^2 = l1^2 + l2^2

14^2 = 7^2 + l2^2

196 = 49 + l2^2

196 - 49 = l2^2

147 = l2^2

√147 = l2

12.124 = l2

rounding to the nearest tenth

l2 = 12.1