Problema Solution

The Flower garden has the shape of a right triangle. 20 ft of a perennial border forms the hypotenuse of the triangle, and one leg is 4 ft longer than other leg. Find the lengths of the legs.

Answer provided by our tutors

Let the length of the hypotenuse = ft

Let the length of the shorter side = ft

Let the length of the longer side = ft

From the Pythagorean theorem,

ft

ft

Complete the square by taking 1/2 of the coefficient of

b, square it, add it to both sides. First add to

both sides

Take the square root of both sides (there is a (-) square root also,

but I can ignore it)

The lengths of the legs are 12 ft and 16 ft

check answer: