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. 1.5B. 7C. 9D. 15.75
B. 7
Since Triangle 1 is a scale drawing of Triangle 2, the sides of Triangle 1 are proportional to the sides of Triangle 2.
Using the ratio of corresponding sides:
4/6 = x/10.5
Cross multiply to solve for x:
4 * 10.5 = 6 * x
42 = 6x
x = 7
Therefore, the length of side x is 7.