Question

Triangles PQR and XYZ are similar.
What is the length of XZ?

A. 5.25
B. 4.5
C. 7
D. 8
E. None of these.

Answer 1

Answer:

Option A. 5.25 units

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

$\frac{PR}{XZ}=\frac{QR}{YZ}$

substitute the given values

$\frac{7}{XZ}=\frac{4}{3}$

solve for XZ

$XZ=7(3)/4\\XZ=5.25\ units$

Answer 2

The measure of XZ from the figure is 5.25

Similar triangles

In order to determine the measure of XZ, we need to take the ratios of the similar sides of the triangles as shown:

QR/YZ = RP/XZ

Substitute the equivalent parameters:

4/3 = 7/XZ
4XZ = 21

XZ = 21/4
XZ = 5.25

Hence the measure of XZ from the figure is 5.25

Learn more on similar triangles here: https://brainly.com/question/2644832