Is it true to say that if in two triangles, an angle of one triangle is equal to an angle of another triangle and two sides of one triangle are proportional to the two sides of the other triangle, then the triangles are similar? Give reasons for your answer.

AcademicMathematicsNCERTClass 10

Given:

In two triangles, an angle of one triangle is equal to an angle of another triangle and two sides of one triangle are proportional to the two sides of the other triangle

To do:

We have to find whether the triangles are similar.

Solution:

According to SAS similarity criterion,

If one angle of a triangle is equal to one angle of the other triangle and the sides including these angles are proportional, then the two triangles are similar.

Here, one angle and two sides of two triangles are equal but these sides do not include the equal angles.

Therefore, the given statement is false.

raja
Updated on 10-Oct-2022 13:27:59

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