\The length of the hypotenuse of a right triangle is 8 cm. The length of one of its legs is 6 cm. What is the approximate area of the right triangle?

15.856 cm squared

Step-by-step explanation:

We will use the pythagorean theorem: a^2+b^2=c^2.

In this case, a=6, and the hypotenuse, c, is 8.

Substitute the two numbers.

6^2+b^2=8^2

36+b^2=64

b^2=28

b is sqrt 28, or 2*sqrt7 (about 5.292)

The area of a triangle is base (a) times height (b) divided by two, so we know that:

Area=(6*5.292)/2

       = 31.752/2

       =15.876

Thus, we have found that the approximate area of the triangle is 15.856 cm squared.

yeah i know the problem you need. i am taking it right now. the answer is step 3

~mickey