Triangle 1 is a scale drawing of Triangle 2, as shown below.

Triangle 1 has sides 4, x and 6, and triangle 2 has sides 6, 10.5, and 9.

Based on the information shown in these triangles, what is the length of the side x?

1 answer

To find the length of side x, we can set up a proportion using the side lengths of the two triangles.

4/6 = x/10.5

Cross multiply to solve for x:

4 * 10.5 = 6 * x
42 = 6x

Divide both sides by 6 to solve for x:

x = 42 / 6
x = 7

Therefore, the length of side x is 7.