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umka21 [38]
1 year ago
14

Help me solve this problem

Mathematics
1 answer:
Gennadij [26K]1 year ago
3 0

The value of GK = 18.6, GM = 14.5 AND JZ = 19.9.

From the figure:

MZ is a perpendicular bisector of ∆GHJ.

GM = MJ

GM = 14.5

KZ is a perpendicular bisector of ∆GHJ.

GK = KH

GK = 18.6

Z is the circumcenter of ∆GHJ.

JZ = GZ

JZ = 19.9

Therefore the value of GK = 18.6, GM = 14.5 AND JZ = 19.9.

Learn more about the perpendicular bisector here:

brainly.com/question/24753075

#SPJ1

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Step-by-step explanation:

Step 1: In rectangle, the diagonals are congruent and bisect each other.

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⇒<em>AG</em> + <em>AG</em> = <em>GD</em> + <em>GD</em>

⇒ 2<em>AG</em> = 2<em>GD</em>

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⇒ –7<em>j </em>+ 7 = 5<em>j</em> + 43

⇒–7<em>j</em> – 5<em>j</em> = 43 – 7

⇒–12<em>j</em> = 36

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Step 2: <em>BD</em> = 2<em>DG</em>

<em>BD</em> = 2(5<em>j</em> + 43)

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     = 2(–15 + 43)

     = 2 × 28

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Hence, <em>BD</em> = 56.

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Step-by-step explanation:

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