Question

Right triangle ABC is similar to triangle XYZ. If the length of side AB is 20.8 units, the length of side BC is 36.4 units, and the length of side YZ is 7 units, what is the length of side XY?

Answer 1

Answer:

XY is 4 units.              

Step-by-step explanation:

We are given the following in the question:

Right triangle ABC is similar to triangle XYZ.

AB = 20.8 units

BC = 36.4 units

YZ = 7 units

We have to find the length of side XY.

Since the given triangles are similar, they have the following property:

The ratio of corresponding sides of similar triangles are equal.

We can write,

$\displaystyle\frac{AB}{XY}=\frac{BC}{YZ}=\frac{AC}{XZ}$

Putting the given values, we have,

$\displaystyle\frac{AB}{XY}=\frac{BC}{YZ}\\\\\frac{20.8}{XY}=\frac{36.4}{7}\\\\XY = \frac{20.8\times 7}{36.4} =4 \text{ units}$

Thus, the length of XY is 4 units.