Question

MEDAL+FAN

Triangle W E T is similar to Triangle D O G. If the length of side W E is 6 feet, the length of side O G is twelve feet, and the length of side E T is 3 feet, what is the length of side D O? (hint: Make a sketch to help.)

A. 1.5 feet

B. 6 feet

C. 15 feet

D. 24 feet

Answer 1

Since \[\huge \triangle W E T \sim \triangle D O G\]
hence, \[\huge \frac{WE}{DO} = \frac{ET}{OG} \rightarrow \frac{6}{DO} = \frac{3}{12}\]
\[\huge \frac{6}{DO} = \frac{1}{4} \rightarrow DO = 6 \times 4 = 24 feet\]

Hence option D. 24 feet is the correct answer.

Answer 2

ohhhhh thanks sooo much