First, you need to determine the scale factor between the two triangles. Since they are similar, corresponding sides are proportional.
Let's compare side lengths:
AB to DE, BC to EF, and AC to DF.
Given AB=15 and DE=11, so AB/DE=15/11.
Given BC=40, so EF=40(x).
Given AC=20, so DF=20(x).
Next, you can set up ratios of corresponding sides:
AB/DE=BC/EF=AC/DF.
15/11=40/x=20/x.
Solve for x:
15/11=40/x,
15x = 440,
x = 440/15,
x = 29.3 (rounded to the nearest tenth).
Therefore, the measure of side EF is 29.3 units.
Triangle ABC is similar to triangle DEF. Find the measure of side EF. Round your answer to the nearest tenth if necessary. Figures are not drawn to scale.
A 11 C 15 B
E F 40 D
1 answer