One leg of a right triangle is 2 inches and the hypotenuse is 6 inches.
Find the area.
A = _____ sq. in
Pythagorean Theorem: c2 = a2 + b2 [c must be the hypotenuse; a and b are the other sides]
For this problem, c = 6.
We can let either a or b = 2; let's say that b = 2.
Place these values into the equation: c2 = a2 + b2 ---> 62 = a2 + 22 ---> 36 = a2 + 4
---> 32 = a2
So: a = sqrt(32)
Area = ½·base·height ---> Area = ½·sqrt(32)·2 ---> Area = sqrt(32)