Question

Parallelogram EFGH is a rectangle. HE = 6. FE = 8

Find GE =


Find FJ =

Answer 1

QUESTION 1.

We were given rectangle EFGH with HE = 6 and FE = 8.

We want to find the diagonal GE,

From Pythagoras Theorem,



`|GE|^2=|FE|^2+|GF|^2`

Note that parallel sides of a rectangle are equal.


`|GE|^2=6^2+8^2.`




`|GE|^2=36+64`



`|GE|^2=100`



`|GE| = √(100)`



`|GE| =10 \: units`


QUESTION 2

We want to find |FJ|.


Note that


`|FJ| = (1)/(2) |FH|`
The diagonals of a rectangle are equal.

This implies that,

`|FH| = 10 \: units`

We therefore obtain,



`|FJ| = (1)/(2) * 10`




`|FJ| = 5 \: units`