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3 years ago

In triangle FGH, GJ is an angle bisector of ∠G and perpendicular to FH.

Mathematics

1 answer:

Citrus2011 [14]3 years ago

4 0

The picture in the attached figure

we know that
If line GJ bisects the angle FGH, that means we also know that the angle FGH is divided into two equal sizes.

Now, we have
Angle FGJ = Angle HGJ
Angle GJF = Angle GJH
This information means that angle GHJ = angle GFJ

We have two congruent right-angled triangle
We can then further deduce that
Side GF = Side GH
Since triangle FGJ and triangle GJH are congruent,
then
side FJ equals to side JH
3x-8=16
3x=16+8
3x=24
x=8 units
Hence,
the length of FH = 2×8=16 units

the answer is
FH=16 units

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2 years ago

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Answer:

Step-by-step explanation:

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2 years ago

How do I create an equation and solve for x

vekshin1

Answer:

Equation: (2x + 30) + 106 = 180

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Step-by-step explanation:

We know that the missing angle from within the triangle and the expression 2x + 30 makes 180 so we can say;

180 - (33 + 41) = missing angle

180 - 74 = missing angle

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Now let's solve:

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Hope this helps!

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