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Two similar triangles have a ratio of similarity of 2:3. If the perimeter of the second triangle is 15 inches, what is the perimeter of the first triangle?

Answer 1

Maverick Smith

Use ratios to solve for the perimeter of the first triangle ...

#2/3=x/15#

Now, solve for x ...

#3x=2xx15#

#x=10 " inches"#

hope that helped

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Answer 2

Theodore Abad

If the ratio of similarity between two similar triangles is 2:3, it means that corresponding sides of the two triangles are in the ratio 2:3.

Let (x) represent the perimeter of the first triangle.

Then, the perimeter of the second triangle would be (\frac{3}{2}) times the perimeter of the first triangle, since the ratio of the perimeters is the same as the ratio of the corresponding sides, which is (\frac{3}{2}).

Given that the perimeter of the second triangle is 15 inches, we can set up the equation:

(\frac{3}{2}x = 15)

Solve for (x) to find the perimeter of the first triangle.

(x = \frac{15 \times 2}{3} = 10) inches.

So, the perimeter of the first triangle is 10 inches.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.