Construct a APQR in which PQ = PR = 5 cm and QR = 6 cm
Measure ZQ and ZR. What do you observe?
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Answer:1) Draw the base QR = 6 cm.
At point Q draw a ray QX making an ∠ QXR = 60o.
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, △ PQR is the required triangle.
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