construct a triangle PQR such that QR=8cm,PQ=6cm and RP=10cm. measure angle PQR
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Step-by-step explanation:
Steps of construction :
1. Draw a line segment PQ=6 cm
2. Draw an arc, using P as a centre and radius 8 cm
3. Draw another arc, using Q as a centre and radius 7 cm
4. Now, join PR and QR to get ΔPQR
5. Draw a ray PX by making an acute angle, angle QPX
6. Divide PX into 4 equal parts.
P1,P2,P3,P4,P5 such PP1=P1P2=P2P3=P3P4=P4P5
7. Join P5Q
8. Draw a line P4Q′ which is parallel to QR
9. Similar to step 8, draw a line Q′R′ which is parallel to QR.
Therefore, ΔPQ′R′ is the required triangle.
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