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Mathematics

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

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Answer

Given two right angle triangles,

One angle of both triangle will be equal to 90°.

Given, acute angle of both triangles are equal let it be a°.

The third angle of both the triangle will be [180° - (90 + a)°].

Hence, by AA rule of similarity both triangles are similar.

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