Question

if D is the mid point of AC of a right angle triangle ABC Prove that BD=1/2AC​

Answer 1

Step-by-step explanation:

we have, ABC a right angled triangle withB as the right angle

D is a mid point of hypotenuse AC

to prove - BD is half of AC

proof - in triangle ABD and triangle CBD,

AD = DC ( given )

angle. ADB = angle. BDC (90°)

BD = BD (common side)

by SAS rule,

triangle ABD and triangle CBD are congruent

by CPCT,

AC = BD and.

CD = BD

I.e. BD is half of AC

hence proved..