Question

PLEASE HELP!!ABCD∼EFGH AD=30 in. , EH=50 in. , and CD=15 in. What is GH ?

Answer 1

Hello there user!

You're answer is going to be -

GH= 25 inches

Explain)

A-D= 30 inches

Half of AD = 15 inches, therefore all you need to do is split the next set in half as well.

50 divided by two is 25, therefore you're answer is 25 inches.

Hope this helps you! Have a great rest of you're day!

~Alexa

Answer 2

Answer: GH =25 in.

Step-by-step explanation:

Given: $ABCD\sim EFGH$

We know that if two polygons are similar then their corresponding sides are proportional.

Thus, $\frac{AB}{EF}=\frac{BC}{FG}=\frac{CD}{GH}=\frac{AD}{EH}$

Since, AD=30 in. , EH=50 in. , and CD=15 in.

Then we have ,

$\frac{CD}{GH}=\frac{AD}{EH}\\\\\Rightarrow\frac{15}{GH}=\frac{30}{50}\\\\\Rightarrow\ GH=\frac{50\times15}{30}\\\\\Rightarrow\ GH=25\ in.$