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

Answer:

Step-by-step 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,

$\frac{y}{3} = 15$

$y = 45$

hence answer is 45.   :   Answer

Hope it will help :)