Question

In the figure B= 90 degrees, AD=15 and DC=20. If BD is the bisector of angle ABC, what is the perimeter of the triangle ABC?​

Answer 1

Answer:

The perimeter of the triangle ABC is 84 cm

Step-by-step explanation:

Given:

AD = 15cm

DC = 20 cm

Angle bisector theorem:

When vertical angle of a triangle is bisected, the bisector divides the base into two segments which have the ratio as the order of other two sides.

Apply angle bisector theorem in ΔABC, we have

Apply pythagoras theorem in ΔABC, we have