Answer: Shorter leg = 6 inches
Longer leg = 6+2 = 8 inches
Step-by-step explanation:
Let the shorter leg bw represented by x.
Therefore, the longer leg will be x+2.
The hypothenuse is 10inches
We should note that in Pythagoras theorem, the square of the longer and shorter side equals the square of the hypothenuse. This will be:
x² + (x+2)² = 10²
x² + x² + 4x + 4 = 100
2x² + 4x = 100 - 4
2x² + 4x = 96
2x² + 4x - 96 = 0
x² + 2x - 48 = 0
x² + 8x - 6x - 48 = 0
x(x + 8) -6(x + 8) = 0
x - 6 = 0
x = 0+6.
x = 6
Shorter leg = 6 inches
Longer leg = 6+2 = 8 inches
