Answer:
15.856 cm squared
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.