An isosceles triangle has two parallel sides and one non parallel side, the base. The angles are labelled q and r at the base and p at the point of the triangle. One parallel side is 44m in length, while the angle directly opposite from this side(angle q) is 86 degrees. Determine the perimeter of trainable PQR to the nearest tenth of a metre.

Question

Thanks in advance

Answer 1

How can a triangle have two parallel sides?

Answer 2

I think you mean two congruent sides.

The angles are
Q=86
R=86
P=8

You know that q=r=44, so you just have to find p. Using the law of sines,

p/sin8 = 44/sin86