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In the Given Figure, T is a Point on the Side Pr of an Equilateral Triangle Pqr. Show that Rt < Qt - Mathematics

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Question

In the given figure, T is a point on the side PR of an equilateral triangle PQR. Show that RT < QT

Sum

Solution

In ΔPQR,
PQ = QR = PR
⇒ ∠P = Q = ∠ = 60°
In ΔTQR,
∠TQR < 60°
∴ ∠TQR < ∠R
∴ RT < QT.

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Chapter 13: Inequalities in Triangles - Exercise 13.1

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Frank Mathematics [English] Class 9 ICSE
Chapter 13 Inequalities in Triangles
Exercise 13.1 | Q 18.2
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