Question

in triangle abc ad is altitude and bd is half of the cd then show that ac^2 =3bd^2 +ab^2​

Answer 1

Answer:

Step-by-step explanation:

BD=CD/2

2BD=CD

4BD²= CD²

In the triangle ABD

AD²=AB²-BD²

In the triangle ACD

AC²=CD²+AD²

putting the value of CD² and AD² from above equations

AC²=3BD²+AB²

All the above equations are Pythagoras Theorem