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Construct a ∆ Pqr Such that : Pq = 6 Cm, ∠Q = 60° and ∠P = 45°. Measure ∠R. - Mathematics

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Question

Construct a ∆ PQR such that :

PQ = 6 cm, ∠Q = 60° and ∠P = 45°. Measure ∠R.

Sum

Solution

Steps of Construction:

(i) Draw a line segment PQ = 6 cm.

(ii) At P, draw a ray making an angle of 45°

(iii) At Q, draw another ray making an angle of 60° which intersects the first ray at R.

∆ PQR is the required triangle. On measuring ∠R, it is 75°.

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Concept for Construction of Simple Triangles.
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Chapter 15: Triangles - Exercise 15 (C)

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Selina Concise Mathematics [English] Class 7 ICSE
Chapter 15 Triangles
Exercise 15 (C) | Q 3.1
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