What is the area of a right triangle with sides of 7 24 and 25?

First make sure that this is a valid right triangle

Since 25 x 25 = (24 x 24) + (7 x 7) we are assured that it is truly a right triangle with 25 as the hypotenuse and the other two sides being 7 and 24 linear units. Then we can use the formula for area of triangle as (1/2) x base x height which in our case would be (1/2) x 7 x 24 = 7 x 12 = 84 square units