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?
A.
1.5
B.
7
C.
9
D.
15.75
To find the length of side x, we can set up a proportion based on the corresponding sides of the two triangles.
4/6 = x/10.5
Cross multiply to solve for x:
4 * 10.5 = 6x
42 = 6x
7 = x
Therefore, the length of side x is 7.
So, the correct answer is:
B. 7