Question

Find the length of the side not given hypotenuse =14, leg =13

Answer 1

`\boxed{x=3√(3)}`

Explanation:

A right triangle is the one that has a 90° degree side. The hypotenuse is the largest side while the legs are the other two sides. The sketch for this problem is shown in the Figure below. To compute the other side, that is x, we must use the Pythagorean Theorem as follows:

`H=\sqrt{Leg_(1)^2+Leg_(2)^2} \\ \\ \therefore H^2=Leg_(1)^2+Leg_(2)^2 \\ \\ Leg_(2)=\sqrt{H^2-Leg_(1)^2} \\ \\ x=√(14^2-13^2) \\ \\ \therefore \boxed{x=3√(3)}`