Question

How many right triangles have a hypotenuse that measures 2x+5 meters and legs that measure 22xminus−33 meters and x+8 ​meters? what are the dimensions of the​ triangle(s)?

Answer 1

Δhello : 
by theorem pytagore : 
(2x+5)² = (22x-33)² + (x+8)²
4x² +20x +25 = 484x²+1452x + 1089 +x²+16x+64
put this expression in the form ax² +bx+c=0
calculate  Δ = b²-4ac   ....cpntibue