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In Each of the Following Figures, You Find Who Triangles. Indicate Whether the Triangles Are Similar. Give Reasons in Support of Your Answer. - Mathematics

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Question

In each of the following figures, you find who triangles. Indicate whether the triangles are similar. Give reasons in support of your answer.

Sum

Solution

PQ || BC             (Corresponding angles formed are equal)

In ΔAPQ and ΔABC,

\[\angle APQ = \angle B\] ( Corresponding angles )
\[\angle PAQ = \angle BAC \] `(Common)`
So,
\[∆ APQ~ ∆ ABC\] (AA Similarity)

Yes  two triangles are similar

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Chapter 7: Triangles - Exercise 7.8 [Page 124]

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RD Sharma Mathematics [English] Class 10
Chapter 7 Triangles
Exercise 7.8 | Q 7.2 | Page 124

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