Question

in triangle abc , angle abc =90°. AB = 2a+1 and BC = 2a square + 2a . find AC in terms of a

Answer 1

use pythagoras theorem

ac² =( 2a+1)² + (2a² + 2a)²

ac = √4a² + 1+4a+4a⁴+4a²+8a³

ac = √4a⁴ + 8a³ + 8a² + 4a + 1