In the two similar trapezoids below, he = 20, what is da?
a. 10

b. 20

c. 30

d. 40

DA = 30

Step-by-step explanation:

Given : the two trapezoid AFGH and ABCD are similar.

We have to find the value of DA , given HE =20

Two figures are said to be similar if their corresponding sides are in same ratios.

The two given  trapezoid AFGH and ABCD are similar.

Then their corresponding sides are in same ratios that is

Substitute the values for given sides , we have,

 .....(1)

Now , first we find the value of x,

Comparing second and third ratio, we have,

Cross multiply, we get

Simplify for x, we have,

Thus, x = 2 as x can not be negative.

Then (1) becomes,

Comparing first and third ratio, we get,

Now solve for DA,

we get DA = 30

Thus, DA = 30

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are