Question

Given ABCE is a rectangle, find the length of AD

Help me

Answer 1

AD = 10

Explanation:

It's given that ABCE is a rectangle.

Therefore, measure of opposite sides of the rectangle will be equal.

AB = EC

AB = ED + DC

12 = ED + 4

ED = 8

Measure of side AE = 6

Since, measure of interior angles of a rectangle = 90°

Therefore, ΔEAD will be a right triangle.

By Pythagoras theorem,

AD² = AE² + ED²

= 6² + 8²

AD =
`√(36+64)`

=
`√(100)`

= 10

Therefore, measure of side AD = 10 units