Question

I have two similar triangles and can't find x. since I'm too lazy to download the app, the larger one has two sides of 6 and 12 and the smaller has two sides of x-3 and x+1. what is x??

Answer 1

The x is -2
Because -3 + 1 is -2
Easy

Answer 2

7

Explanation:

We can use the fact that the corresponding sides of similar triangles are in proportion to each other.

Let's compare the corresponding sides of the two triangles:

Corresponding sides and ratio

• larger triangle's side of length 6
• larger triangle's side of length 12

Ratio

• smaller triangle's side of length x-3
• smaller triangle's side of length x+1

Since the triangles are similar, we know that these ratios are equal. That is,

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

We can simplify this equation by cross-multiplying:

6(x+1) = 12(x-3)

Expanding and simplifying:

6x + 6 = 12x - 36

42 = 6x

x = 7

Therefore, x has a value of 7.