Question

Provw that is n isosceles triangle altitude from the vertex bisects the base

Answer 1

Step-by-step explanation:

GIVEN: ∆ABC IS AN ISOSCELES TRIANGLE IN WHICH AD IS PERPENDICULAR BC

TO PROVE: BD=CD

PROOF:

IN ∆ABD & ∆ACD

AB=BC(ABC IS AN ISOSCELES TRIANGLE)

<B=<C[ANGLES OPPOSITE EQUAL SIDES ARE EQUAL]

<ADB=<ADC[EACH 90•]

∆ABD~=∆ADC(AAS)

BY C.P.C.T.

BD=CD

HENCE, PROVED