Question

Triangle XYZ X Y Z is a scale drawing of triangle ABC. A B C . Triangle ABC has side lengths 3, 4, & 5. Triangle XYZ has corresponding side lengths x, 12, & 15. © 2018 StrongMind. Created using GeoGebra. What is the value of x? x ? Enter your answer as a number, like this: 42

Answer 1

To find the value of x, we can set up a proportion using the corresponding side lengths of Triangle ABC and Triangle XYZ. By cross multiplying and dividing, we find that x is equal to 27.

Step-by-step explanation:

To find the value of x in Triangle XYZ, we can set up a proportion using the corresponding side lengths of Triangle ABC. The sides of Triangle ABC are 3, 4, and 5, while the sides of Triangle XYZ are x, 12, and 15. We can set up the proportion as follows:

3/x = 4/12 = 5/15

Multiplying the numerator and denominator of the first fraction by 15 and simplifying the other fractions gives:

45/x = 20/12 = 25/15

Cross multiplying, we have:

45 * 15 = 25 * x

Simplifying, we get:

675 = 25x

Dividing both sides by 25, we find:

x = 27