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In ∆PQR, ∠R = ∠P and QR = 4 cm and PR = 5 cm. Then the length of PQ is ______. - Mathematics

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Question

In ∆PQR, ∠R = ∠P and QR = 4 cm and PR = 5 cm. Then the length of PQ is ______.

Options

  • 4 cm

  • 5 cm

  • 2 cm

  • 2.5 cm

MCQ
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Solution

In ∆PQR, ∠R = ∠P and QR = 4 cm and PR = 5 cm. Then the length of PQ is 4 cm.

Explanation:

Given, ∆PQR such that ∠R = ∠P, QR = 4 cm and PR = 5 cm

In ∆PQR, ∠R = ∠P

⇒ PQ = QR  ...[Sides opposite to equal angles are equal]

⇒ PQ = 4 cm  ...[∵ QR = 4 cm]

Hence, the length of PQ is 4 cm.

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Chapter 7: Triangles - Exercise 7.1 [Page 64]

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NCERT Exemplar Mathematics [English] Class 9
Chapter 7 Triangles
Exercise 7.1 | Q 5. | Page 64

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