smilarity and right angled triangle
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If one of the acute angles of a right triangle is congruent to an acute angle of another right triangle, then by Angle-Angle Similarity the triangles are similar. In the figure, ∠M≅∠Y , since both are right angles, and ∠N≅∠Z . So, ΔLMN∼ΔXYZ .
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Answer:First, right triangles are not necessarily always similar. ... In both cases, the leg of the larger triangle is twice as long as the corresponding leg in the smaller triangle. Given that the angle between the two legs is a right angle in each triangle, these angles are congruent.
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