Question

In AABC, AB = 6, BC = 12 and AC = 9.
The line through the incenter of triangle ABC
parallel to BC intersects AB at P and AC at Q.
What is the perimeter of AAPQ?​

Answer 1

Answer:

13.5cm

Step by step explanation:

Midpoint Theorem: It states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.

QP=12/2=6cm

AP=6/2=3cm

AQ=9/2=4.5

Perimeter= AP+QP+AQ

=13.5cm