Question

The diagonals of quadrilateral ABCD intersect at point E, AE=5x-10,EC=2x+5, and BE= y/3.. If ABCD is a square, find the value of y. A. 5 B. 15 C. 30 D. 45

Answer 1

check the picture below.

Answer 2

Explanation:

Alright, lets get started.

Please refer the diagram I have attached.

As we are given, quadrilateral ABCD is square.

Means its diagonals will intersect each other at their mid point.

So,
`AE =EC`

`5x-10=2x+5`

`5x-2x= 5+10`

`3x = 15`

`x = 5`

It means AE =
`5x-10 = 5(5)-10 = 25-10=15`

`AE = BE`

So,

`(y)/(3) = 15`

`y = 45`

hence answer is 45. : Answer

Hope it will help :)