1.

The sides of a right triangle are 2x+2, 2x-1, 3x find value of x

Answer»

Answer:

5

Step-by-step EXPLANATION:

If these are the sides of a RIGHT triangle, they should FOLLOW the Pythagoras theorem.

(2x-1)² + (2x+2)² = (3x)²

(4x² - 4x + 1) + (4x² + 8x + 4) = 9x²

8x² + 4x + 5 = 9x²

x² - 4x - 5 = 0

x² + x - 5x - 5 = 0

x(x + 1) - 5(x + 1) = 0

(x - 5)(x + 1) = 0

x = 5,-1

But sides can't have NEGATIVE length.

Therefore, x=5



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