The leg and hypotenuse of a right triangle are respectively 13 and 85 cm Find the perimeter.

Let us determine through what number of centimeters it will be possible to express the unknown leg of our triangle, if we know from the condition of this problem that its hypotenuse is 85 centimeters, and the known leg is 13 centimeters:

√85 ^ 2 – 13 ^ 2 = √ (7225 – 169) = √7056 = 84.

We will determine through what number of centimeters it will be possible to express the perimeter of our triangle, because from the existing school curriculum we know that this is the sum of all sides:

85 + 84 + 13 = 182.

Answer: 182 cm.