Question

Two triangle are similar. The lengths of the side of the triangle are 3,5 and 8. What are the lengths of two sides of the other triangle if the length of the longest side is 28?​

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Answer 1

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Expert Answer :)

A. 10.5 and 17.5

Step-by-step explanation:

The lengths of the first triangles are 3, 5, and 8.

And the other one has the length of its longest side 28.

As said, they are similar triangles. Similar triangles have their corresponding sides proportional.

So the longest side of each triangle are proportional. Therefore, 28:8.

To find the other 2 lengths of the 2nd triangle, we divide the 28 and 8 to find their scale factor.

28/8=3.5

Now that we know the scale factor, we multiply by the two other given lengths to find the 2 other lengths of the 2nd triangle.

3 x 3.5 = 10.5

5 x 3.5 = 17.5

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Answer 2

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A. 10.5 and 17.5

Step-by-step explanation:

The lengths of the first triangles are 3, 5, and 8.

And the other one has the length of its longest side 28.

As said, they are similar triangles. Similar triangles have their corresponding sides proportional.

So the longest side of each triangle are proportional. Therefore, 28:8.

To find the other 2 lengths of the 2nd triangle, we divide the 28 and 8 to find their scale factor.

28/8=3.5

Now that we know the scale factor, we multiply by the two other given lengths to find the 2 other lengths of the 2nd triangle.

3 x 3.5 = 10.5

5 x 3.5 = 17.5

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