Answer:
x = 10.5, so x+4 = 14.5
Step-by-step explanation:
The Pythagorean theorem tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides:
... (x +4)² = x² + 10²
... x² +8x +16 = x² +100
... 8x = 84 . . . . . . . . . . subtract x²+16
... x = 10.5
The lengths of the sides of the triangle are ...
- 10 (given)
- 10.5 (x)
- 14.5 (x+4)
