Problema Solution

Compute the altitude of a right triangle with a 12-foot base and a 13-foot hypotenuse.

Answer provided by our tutors

let


a = 12 ft base and one leg of the right trinagle

c = 13 ft hypotenuse

b = h = ? the other leg of the right triangle


From the Pythagorean Theorem we know


a^2 + b^2 = c^2


12^2 + b^2 = 13^2


b^2 = 169 - 144


b^2 = 25


b = 5 ft


the latitude of the right triangle for the 12-foot base is 5 feet.