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Burka [1]
4 years ago
6

Use the given figure to find the length of FG

Mathematics
1 answer:
bazaltina [42]4 years ago
8 0

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



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