Answer:
x = 6, x = -8
Step-by-step explanation:
Since the Pythagorean Theorem is L^2 + L^2 = H^2, all we have to do is substitute each variable and its equation for our L's.
(x + 2)^2 + (x)^2 = 100
2x^2 + 4x + 4 = 100
2x^2 + 4x - 96 = 0
Using quadratics, sorry, there was no other way, we get:
x = 6 or x = -8.
Check:
6 + 2 = 8^2 = 64
6^2 = 36
64 + 36 = 100 = 10.
-8 works as well.
Therefore, x = 6, x = -8 are correct.
