Question

Pls help Brainelist if correct

The first triangle is dilated to form the second triangle. What is the scale factor? Please show your math work step by step.

Answer 1

2.5 is the scale factor

Explanation:

Skills needed: Identifying the Scale Factor, Division

1) First, we need to understand what the scale factor is.

A scale factor is the value being multiplied by one side of a figure to form another figure that is bigger or smaller. For example:

• Let's say you are given a triangle with side lengths 3 cm, 4 cm, and 5 cm and you are supposed to find the side lengths of a new triangle when the scale factor being used is 2.
• Here, you would multiply all the sides by the value 2. So, the 3 sides are:

3 x 2, 4 x 2, and 5 x 2 ---> 6 cm, 8 cm, 10 cm.

2) So to find the scale factor in a problem, you would do the side of one triangle divided the corresponding side of the other triangle.

So to find the scale factor in the above problem (if we were only given side lengths 3 cm, 4 cm, and 5cm & also 6 cm, 8 cm, and 10 cm), you would do:

`(6)/(3)` or
`(8)/(4)` or
`(10)/(5)`, all of which equal 2.

3) So in this problem, you would simply do
`(10)/(4)`, since 10 and 4 are corresponding sides of dilated triangles.

This is
`(5)/(2)` when simplified, or 2.5 as a decimal, since scale factors are usually expressed as decimals.

Hope this helps and have a nice day!! :) :] :D