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
B. 7
To find the length of side x, we can use the fact that triangles 1 and 2 are a scale drawing of each other. This means that the corresponding sides of the two triangles are in proportion to each other.
Therefore, we can set up a proportion:
4/6 = x/10.5
Cross multiply to solve for x:
4 * 10.5 = 6 * x
42 = 6x
Divide by 6 to solve for x:
x = 7
So, the length of side x in Triangle 1 is 7.