Question

The smaller triangle was dilated to form the larger triangle. What is the value of x? A smaller triangle has side lengths of 3 and 5. A larger triangle has side lengths of 9 and x + 1.

Answer 1

C: 14

Explanation:

Answer 2

x = 14

Explanation:

As the triangle was dilated, all its sides increased by the same ratio.

So, as one side was 3 and then increased to 9, the ratio is:

ratio = 9 / 3 = 3

So, using this same ratio for the other side given, we can find the value of x.

The larger side of length x+1 is 3 times greater than the small side of length 5:

x + 1 = 3 * 5

x + 1 = 15

x = 14