Forum

ABC is an isosceles...
 
Notifications
Clear all

ABC is an isosceles triangle with AB = AC. Draw AP ⊥ BC to show that B = C.

1 Posts
2 Users
0 Likes
546 Views
0
Topic starter

ABC is an isosceles triangle with AB = AC. Draw AP ⊥ BC to show that B = C.

1 Answer
0

In the question, it is given that AB = AC

Now, ΔABP and ΔACP are similar by RHS congruency as

APB = APC = 90° (AP is altitude)

AB = AC (Given in the question)

AP = AP (Common side)

ΔABP ΔACP.

∴ B = C (by CPCT)

Share:

How Can We Help?