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If M is the circumcenter of GHI find the missing measure.

Help it’s a day late pls !!!!!

If M is the circumcenter of GHI find the missing measure. Help it’s a day late pls-example-1
User AvZ
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1 Answer

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The missing sides of the triangle are

GI = 60 units

MH = 34.01 units

IK = 23.07 units

HI = 46.1 units

MG = 34.01 units

How to find the missing sides

The missing sides area solved using properties peculiar to incenter

GI = LI * 2 = 30 * 2 = 60 units (LI = GL)

GI = 60 units

To find MH we use Pythagoras

MH = √(MJ² + JH²) JH = GJ (incentre)

MH = √(14² + 31²)

MH = √(1157)

MH = 34.01 units

Solving for IK

MH = MI = MG (incenter)

using Pythagoras

IK = √(MI² - MK²)

IK = √(1157 - 25²)

IK = √532

IK = 23.07 units

Solving for HI

HI = 2 * IK

HI = 2 * 23.07

HI = 46.14 units

Solving for NG

MH = MI = MG = 34.01 units (incenter)

User Spencer Williams
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