Answer:
hypotenuse = 20
leg = x + 4
other leg = x
From the Pythagorean Theorem we know that
20^2 = (x + 4)^2 + x^2
400 = x^2 + 8x + 16 + x^2
2 x^2 + 8x -384 = 0
Solving the quadratic equation we get
x = 12 and x = -16
x = 12 and so the lengths of the 2 legs are:
12 and 16
Right Triangle Area = (leg1 * leg2) / 2
Right Triangle Area = (12 * 16) / 2
Area = 192 / 2
Area = 96 square centimeters
Step-by-step explanation:
