Question

Identify The Similar Triangles. Then Find Each Measure. A. AC B. VT X + 1 3x - 3 E 15 B 14 С 12 6 V X+2 T A. B. X + 5 R

Answer 1

The similar triangles are VXT and ART. The measure of AC is 12(3x-3)/(x+1) and the measure of VT is 14(x+2)/(x+5).

Step-by-step explanation:

The similar triangles in the given diagram are triangle VXT and triangle ART. To find the measures, we can use the concept of similar triangles.

First, we'll find the measure of AC. AC is corresponding to VT, so we can set up the following proportion:

(AC)/(VT) = (AR)/(VX+1)

Simplifying the equation, we get:

(AC)/(3x-3) = 12/(x+1)

Cross multiplying and solving for AC, we get AC = 12(3x-3)/(x+1)

Next, we'll find the measure of VT. VT is corresponding to AR, so we'll set up the following proportion:

(VT)/(AR) = (VX+2)/(TR)

Simplifying the equation, we get:

(VT)/(14) = (x+2)/(x+5)

Cross multiplying and solving for VT, we get VT = 14(x+2)/(x+5)