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Construct a Triangle Using the Given Data: Pq - Pr = 1.5 Cm, Qr = 6.0 and ∠Q = 45° - Mathematics

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Question

Construct a triangle using the given data: PQ - PR = 1.5 cm, QR = 6.0 and ∠Q = 45°

Sum

Solution

PQ - PR = 1.5 cm, QR = 6.0 and ∠Q = 45°

Steps of Construction:
1. Draw a line segment QR = 6 cm.
2. With Q as centre, draw ∠TQR = 45°
3. From QT, cut QS = 1.5 cm.
4. Join S and R.
5. Draw perpendicular bisector of SR which cuts QT at P.
6. Join PR.
Thus, PQR is the required triangle.

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Chapter 14: Constructions of Triangles - Exercise 14.1

APPEARS IN

Frank Mathematics [English] Class 9 ICSE
Chapter 14 Constructions of Triangles
Exercise 14.1 | Q 11.1
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