Question

In triangle ABC, angle B= 90 degre. Find the value of x, if AB=x cm, BC=(4x+4) cm and AC= (4x+5) cm.​

Answer 1

As per Pythagoras  theorem,

(4x+5)² = x² + (4x+4)²

=> 16x² + 25 + 40 = x² + 16x² + 16 + 32x

=> 65 = x² + 16 + 32x

=> x² + 32x - 49 = 0

on solving you get x = 1.46 and x = -33.46

we don't take the negative value because the length of a side cannot be negative,

so AB = 1.46cm

BC = 9.84

AC = 10.84

Answer 2

Step-by-step explanation:

apply pgt

4x2+25+40x=x2+16x2+16+32x

9+8x= 13x2

then x= 1

AB= 1CM

BC= 8CM

AC= 9CM