Un triángulo rectángulo tiene un área de 84 pies2 y una hipotenusa de 25 pies de largo. ¿cuáles son las longitudes de sus otros dos lados?

7 feet and 24 feet

Step-by-step explanation:

In the right triangle, the hypotenuse is 25 feet long. The area of this triangle is 84 square feet.

Let x feet and y feet be the lengths of triangle's legs.

By the Pythagorean theorem,

The area of the right triangle is half the product of its legs, thus

Solve the system of two equations:

From the second equation:

Substitute it into the first equation:

The length of the leg cannot be negative, so

answer: 2530

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