Question

The ratio of the corresponding sides of two similar triangles is 1: 3. The ratio of their corresponding heights is 
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Answer 1

The ratio of the corresponding sides of two similar triangles is 1: 3. The ratio of their corresponding heights is 1:3

What are corresponding heights?

• A triangle is a polygon having three sides of the same or different vertices.
• The length from the base to the opposite side of a vertex is called its corresponding height.
• A triangle has three vertices and three edges having an angle sum of 180 degrees.

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Answer 2

The ratio of the corresponding heights would be 1:3

Given

• similar triangles
• ratio of the corresponding sides 1: 3

To find

• ratio of their corresponding heights

Solution

We are provided with two triangles and are said that those are similar. We are also provide at that the ratio of corresponding sides are 1:3.

concept,

we know that two triangles are said to be similar when the ratio of all the three sides are equal.

Two triangles, when they are in similar shall hold similar properties, nature and shape.

Therefore, in the question it is saidt that the triangles are similar and it is given that the ratio of the sides are 1:3 , in such a case the ratio of the corresponding heights shall also be 1:3.

Hence, the ratio of the corresponding heights would be 1:3.

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