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If in two right triangles, one of the acute angles of one triangle is equal to an acute angle of the other triangle, can you say that the two triangles will be similar? Why? - Mathematics

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Question

If in two right triangles, one of the acute angles of one triangle is equal to an acute angle of the other triangle, can you say that the two triangles will be similar? Why?

Sum

Solution

Let two right angled triangles be ∆ABC and ∆PQR


In which, ∠A = ∠P = 90°

And ∠B = ∠Q = acute angle  ...(Given)

Then, by AA similarity criterion, ∆ABC ~ ∆PQR

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Chapter 6: Triangles - Exercise 6.2 [Page 64]

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NCERT Exemplar Mathematics [English] Class 10
Chapter 6 Triangles
Exercise 6.2 | Q 8. | Page 64
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