Question

In triangle PQR, angle PRQ= 55°, 3QR = 4PR and the area of
triangle PQR is 158 cm.
Find the length of QR.​

Answer 1

Step-by-step explanation:

as 3 qr = 4 pr so this is an isosceles triangle,

so angle PRQ = 55° so angle angle PRQ =angle PQR as 3 QR =4 PR , so angle R=angle Q = 55°

as we know the angle sum property of triangle is 180° ,

So

angle Q + angle R + angle P = 180° so,

55° +55°+angle P= 180°

angle P = 180° -110°

angle P = 70°