Question

Find the length of the unknown side. Round your answer to the nearest tenth. Image of a right triangle with a leg labeled 8, hypotenuse labeled 14, and other leg unknown. 14.0 13.0 12.5 11.5

Answer 1

a^2 + b^2 = c^2.......a and b r the legs and c is the hypotenuse
8^2 + b^2 = 14^2
64 + b^2 = 196
b^2 = 196 - 64
b^2 = 132.....take square root of both sides, eliminating the ^2
b = square root 132
b = 11.49 rounds to 11.5 <==

Answer 2

Answer: 11.5

Explanation:

We know that the Pythagoras theorem says that the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let a be the unknown side .

Applying Pythagorean theorem , then we have

`(14)^2=(8)^2+a^2\\\\\Rightarrow\ a^2=(14)^2-(8)^2\\\\\Rightarrow\ a^2=196-64\\\\\Rightarrow\ a=√(132)=11.4891252931\approx11.5`

Hence, the length of the unknown side =11.5