Question

△YPM∼△WBE What is BE ? Enter your answer, as a decimal, in the box. in. Triangle Y P M and triangle W B E. Y P is 15 inches, P M is 32 inches, Y M is 30 inches, and W B is 21 inches.

Answer 1

accidentally answered, srry

Explanation:

Answer 2

BE is 44.8 inches long.

Explanation:

If
`\triangle YPM \sim \triangle WBE`, then we have the following proportion between corresponding sides

`(YP)/(WB)=(PM)/(BE)=(YM)/(WE)`

We know that
`YP=15; PM=32; YM=30;WB=21`

Replacing this values and solving for
`BE` we have

`(YP)/(WB)=(PM)/(BE)`

`(15)/(21)=(32)/(BE)\\ \\BE=(32(21))/(15)=44.8`

Therefore, BE is 44.8 inches long.