Question

Determine the lengths of the unknown sides in the following pairs of similar triangles.

x = ?
y = ?
​(Type integers or simplified​ fractions.)

Answer 1

Answers. x = 5 y= 12

Step by step
We know the pre image to image is less than 1 because the image became smaller

We know our formula is image ÷ pre image to get the dilation rate

We know one side of the image is 13, it’s corresponding side is 65
13/65 = .2 dilation rate

Now we can multiply the other two sides by the rate to find the missing sides

x = 25 * .2
x = 5

y = 60 * .2
y = 12

Check your work and multiply the rate times 65

65 * .2 = 13 this is true so the solution is correct