27 Construct a PQR , in which AB =90, LR=800
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and PQ+QR+PR =9,5 cm
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Answer:
In APQR, QR= 6 cm, PR-PQ=2 cm & ZQ= 60°
Steps of construction:
1. Draw the base QR-6 cm.
At Point Q draw a ray QX making an ZXQR-60°
Here, PR -PQ= 2cm
PR>PQ
The side containing the base angle Q is less than
third side.
2. Cut the line segment QS equal to PR-PQ=2 cm, from the ray QX extended on opposite side of base QR.
3. Join SR and draw its perpendicular bisector ray AB which intersect SR at M.
4. Let P be the intersection point of SX and perpendicular bisector AB. Then join PR.
Thus APQR is the required Triangle.
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