Question

What is the length of de?

Answer 1

Answer: length of DE = 18

Step-by-step explanation:

Since the angles of these two triangles are the same, we can assume that they are similar triangles. To solve for a missing side of a triangle that is similar, you can set up a proportion:

$\frac{27}{15}=\frac{x}{10}$

To solve for x (the missing length), you would do:

27 × 10 ÷ 15 = 18

You can set up the proportion in any way between the two triangles as long as the two sides correspond to each other. For example, you could have also used the following proportion to solve for x:

$\frac{x}{27} =\frac{10}{15}$

When you solve for x using this proportion, you would get the same value for x:

10 × 27 ÷ 15 = 18