Question

Right triangle PQR is shown on the graph below. If the point (x, 7) lies on the line that goes through side of the trianglethen what should be the value of x?

A. -2
B. 5
C. -3
D. 3

Answer 1

C. -3

Explanation:

First, find the slope of side QR. Calculate the slope by finding the ratio of the difference between the y-coordinates and the difference between the x-coordinates of points Q and R.

The slope of side QR can be found as shown below.

Now, using the slope of side QR, draw a triangle RST similar to the right triangle PQR with S(x, 7) as one vertex.

Next, find the value of x as shown below.

Therefore, the value of x in the point (x, 7) is -3.