Question

In triangle PQR angle Q= angleR= 45° find its longest side.

Answer 1

Answer:

The longest side is QR.

Step-by-step explanation:

Since we know that in triangle PQR, angle Q= angle R= 45°, our aim is to find its longest side.

By angle sum properties of triangles, we know that the sum of the angles of a triangle is always equal to 180º.

Then we have that:

∠P = 180 - 45 - 45 = 90

Thus, our angle P is a right angle. Then we conclude that the longest side is the opposite side of the greatest angle, which is angle P. Then it is the side QR.

Hence, the longest side is QR.