Question

Solve this problem using Pythagorean theorem.

Answer 1

x+4 = x

10.5 + 4 = 14.5

hypotenuse = 14.5

shorter side (x) = 10.5

Explanation:

Answer 2

x = 10.5, so x+4 = 14.5

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)