If two figures are similar, then the ratio of its corresponding sides is equal to the scale factor and the ratio of its areas is equal to the scale factor squared

In this problem

Triangles XBY and ABC are similar, because the corresponding internal angles are congruent

see the attached figure to better understand the problem

step 1

Find the scale factor

Let

z-------> the scale factor

$z=\frac{BY}{BC}$

we have

$BY=3\ units$

$BC=2+3=5\ units$

substitute

$z=\frac{3}{5}$

step 2

Find the ratio of the area of triangle XBY to the area of triangle ABC

Remember that

If two figures are similar, then the ratio of its areas is equal to the scale factor squared

we have

$z=\frac{3}{5}$ -----> scale factor

$z^{2} =(\frac{3}{5})^{2} =\frac{9}{25}$

5 0

3 years ago

Read 2 more answers

Which set of angle measures can be the angle measures of a triangle?

KatRina [158]

Answer:

Step-by-step explanation:

There are two conditions that need to be in place.

The sum of the angles must equal 180
There must be exactly 3 angles.

A has too many angles. The answer is not A.

B same as A

C same as A

D doesn't add to 180. Not D

You have no answer unless there is another choice.

6 0

1 year ago