Question

Construct a triangle PQR, given that PQ = 4cm, QR = 6cm and angle PQR = 60 degrees.
Use a ruler and a compass only.
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Answer 1

Step-by-step explanation:

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Steps of Construction:

(i) Draw a line segment that is sufficiently long using a ruler.

(ii) Locate points Q and R on it such that QR=5.2cm.

(iii) At Q, construct a line segment QM, sufficiently large, such that ∠MQR at 60

∘

use protractor to measure 60

∘

(iv) With Q as centre and radius 4cm, draw the line cutting QM at P, join PR.

Then PQR is the required triangle.

solution