Question

Use the given figure to find the length of FG

Answer 1

Answer:

The length of FG is $19\:units$.

Step-by-step explanation:

Since the altitude of the triangle bisects the third side, triangle FGH is isosceles.

Therefore $|FG|=|HG|$

This implies that,

$5x-6=3x+4$

This is a linear equation where we easily solve for $x$.

We group like terms to get,

$5x-3x=4+6$

$2x=10$

We divide both sides by 2 to obtain,

$x=5$.

The length of FG is

$5(5)-6=25-6=19$