QUESTION 1.
We were given rectangle EFGH with HE = 6 and FE = 8.
We want to find the diagonal GE,
From Pythagoras Theorem,
[tex]|GE|^2=|FE|^2+|GF|^2[/tex]
Note that parallel sides of a rectangle are equal.
[tex]|GE|^2=6^2+8^2.[/tex]
[tex]|GE|^2=36+64[/tex]
[tex]|GE|^2=100[/tex]
[tex]|GE| = \sqrt{100} [/tex]
[tex]|GE| =10 \: units[/tex]
QUESTION 2
We want to find |FJ|.
Note that
[tex]|FJ| = \frac{1}{2} |FH|[/tex]
The diagonals of a rectangle are equal.
This implies that,
[tex]|FH| = 10 \: units[/tex]
We therefore obtain,
[tex]|FJ| = \frac{1}{2} \times 10[/tex]
[tex]|FJ| = 5 \: units[/tex]
