Question

In triangle △ABC, ∠ABC=90°, BH is an altitude. Find the missing lengths. BC=9 and HC=3, find AH.

Answer 1

Answer:

Step-by-step explanation:

BH is altitude means it's a perpendicular height from point B to side AC.

Now we hv two triangles ABH and BCH

In trBCH using Pythagoras

BH= √54 cm

In trABC Pythagoras

AB^2=AC^2-81 Eq-1

Put AC=AH+3

In trABH using Pythagoras

AB^2=BH^2+AH^2. Eq2

BH^2=54

Using Eq1 and Eq2

AH=7.5 cm