Question

In triangle ABC, AB = AC = 20 and BC = 12 If PQ ||AC and RQ||AB, then the perimeter ofquadrilateral APQR is

Answer 1

Step 1

Triangle ABC is an isosceles triangle

an isosceles triangle is a triangle that has two sides of equal length.

Step 2:

Step 3:

Since PQ//AC and RQ//AB hence, angle PBQ and RCQ are isosceles triangle with sides 10, 10, 6,

Perimeter of APQR is the sum of the length of the outer length of APQR.

Perimeter of APQR = AP + AR + QP + QR

=10 + 10 + 10 + 10 = 40

Final answer

Perimeter of APQR = 40