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It is given that two triangles are similar. So that the ratio of their corresponding sides are equal.

If you draw altitudes from the same vertex to both triangles, then they would divide the original triangles into two triangles which are similar to the originals and to each other. So the altitudes, as sides of the similar triangles, will have the same ratio as any pair of corresponding sides of the original triangles.

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โˆ™ 2010-12-21 02:52:04
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A polynomial of degree zero is a constant term

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Q: Will the lengths of two corresponding altitudes of similar triangles will have the same ratio as any pair of corresponding sides?
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Related questions

Give the definition of similar triangle?

Similar triangles means they have the same lengths OR the corresponding lengths have equal ratios.


The of the corresponding side lengths of similar triangles is called the scale factor?

ratio


The what of the corresponding side lengths of similar triangles is called the scale factor?

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How can you tell if two triangles are similar?

Their corresponding angles are equal, or the ratio of the lengths of their corresponding sides is the same.


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You either show that the corresponding angles are equal or that the lengths of corresponding sides are in the same ratio.


Why do similar triangles have the same trigonometric ratios?

Trigonometric ratios are characteristics of angles, not of lengths. And, by definition, the corresponding angles an similar triangles have the same measures.


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It is true.


Are two arbitrarily chosen equilateral triangles similar?

Yes. Corresponding angles of the two triangles are always equal, and lengths of corresponding sides are always in the same ratio.


What are the different of congruent triangle and similar triangle?

The corresponding angles in both cases are the same. With congruent triangles, the lengths of the corresponding sides are also equal.


What are triangles whose corresponding angles are equal and corresponding sides are in proportion?

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Yes, similar triangles are congruent because in order to be congruent they must first be equal. Which in turn is the definition of a similar triangle. A triangle equal in angle measurements and/or side lengths. So, yes.


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