Question

In ΔPQR, ∠P : ∠Q : ∠R ≈ 1 : 2 : 3 and altitude from P to QR is 4 cm. Find the perimeter of ΔPQR. {NO DIAGRAM IS THERE IN BOOK}

Answer 1

Answer:

firstly find the measure of the angles.

P:Q:R = 1:2:3

Let their common multiple be x

the measure of all angles of a triangle is 180°

* x+2x+3x = 180°

6x= 180°

x= 180/6

x= 30

** P= 30°

Q= 2×30=60°

R= 3×30=90°

Draw the altitude.

Find the length of the sides and the perimeter.