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Question
If all three sides of a triangle are reduced by 20% without changing the angles, the new and the original triangles will be:
If all three sides of a triangle are reduced by 20% without changing the angles, the new and the original triangles will be:
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Solution
The correct option is B Similar
It is given that the new triangle formed has the same angles as the original triangle.
Also, the length of the new sides of the triangle will be 0.8 times the original length. So, ratio of the corresponding sides will be 0.8 for all the three sides.
Hence, the two triangles will be similar. Another way to look at it is that similar triangles are formed by scaling the original triangle by equal proportions.
It is given that the new triangle formed has the same angles as the original triangle.
Also, the length of the new sides of the triangle will be 0.8 times the original length. So, ratio of the corresponding sides will be 0.8 for all the three sides.
Hence, the two triangles will be similar. Another way to look at it is that similar triangles are formed by scaling the original triangle by equal proportions.
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