De un triángulo rectángulo se conoce que su hipotenusa mide 20 cm y la suma de los catetos miden 24 cm ¿cuánto mide su área?

The area of the right triangle is

Step-by-step explanation:

The question in English is

From a right triangle it is known that its hypotenuse measures 20 cm and the sum of the legs measures 24 cm. How much does its area measure?

Let

x-----> the measure of one leg

y----> the measure of the other leg

Assume x is less than y

we know that

Applying Pythagoras Theorem

-----> equation A

-----> equation B

Substitute equation B in equation A and solve for x

Solve the quadratic equation by graphing

The solution is    

see the attached figure

The area is equal to