Question

Given: Triangle ABC ~= Triangle DEF, AB = 13, EF = 21, and DE = 4x-15, find x.

a) x = 7
b) x = 9
c) x = 10
d) x = 11

Answer 1

To find x in the given similar triangles, use the proportion AB/EF = DE/21 and solve for x. The value of x is 10 (option c).

Step-by-step explanation:

To find the value of x, we can use the fact that corresponding sides of similar triangles are proportional. In this case, we have AB/EF = DE/21. Substituting the given values, we get 13/21 = (4x-15)/21. Solving this equation, we find that x = 10. Therefore, the answer is x = 10 (option c).