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Construct a ∆ Pqr Such That: Qr = 4.4 Cm, ∠R = 30° and ∠Q = 75°. Measure Pq and Pr. - Mathematics

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Question

Construct a ∆ PQR such that:

QR = 4.4 cm, ∠R = 30° and ∠Q = 75°. Measure PQ and PR.

Sum

Solution

Steps of Construction:

(i) Draw a line segment QR = 4.4 cm.

(ii) At Q, draw a ray making an angle of 75°

(iii) At R, draw another arc making an angle of 30°; which intersects the first ray at R

∆ PQR is the required triangle.

On measuring the lengths of PQ and PR, PQ = 2.1 cm and PR = 4. 4 cm.

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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 3.2
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