2 years ago

Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.

Mathematics

1 answer:

luda_lava [24]2 years ago

7 0

Answer: m=3 radical 2 and n=3

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C. Line m is a perpendicular<br> bisector. If EG=12 and FG=5,<br> of then how long is:

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$EF = 13$

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Step-by-step explanation:

Given

The attached figure

$EG = 12$

$FG = 5$

Solving (a): EF

Since m is a perpendicular bisector, then <EGF and <EGH are right-angled.

So, EF will be calculated using Pythagoras theorem which states:

$EF^2 = EG^2 + FG^2$

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$EF^2 = 169$

Take the positive square roots of both sides

$EF = \sqrt{169$

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Solving (b): GH

Since m is a perpendicular bisector, then GH = FG

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$GH = FG$

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Solving (c): EH

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$EF = 13$

$EH = EF$

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