Question

Construct ΔPQR, where m∠Q = 60, m∠R = 90 and QR = 5 cm by using a pair of compass and a straight edge only.

Answer 1

Answer:

Constructed ΔPQR,

Step-by-step explanation:

we need to Construct ΔPQR, where m∠Q = 60, m∠R = 90 and QR = 5 cm by using a pair of compass and a straight edge only.

we will draw a straight line QR = 5cm

draw a perpendicular line on R

m∠Q = 60

=> cos60 = QR/PQ

=> 1/2 = 5/PQ

=> PQ= 10 cm

now using compass we will draw an arc of 10 cm from Q such that it cut perpendicular line from R and hence we will get P

join PQ

and we get triangle PQR