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If M is the circumcenter of AGHI, find each missing measure.

If M is the circumcenter of AGHI, find each missing measure.-example-1

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The measure of the missing sides are

GJ = 60 units

MH = 34.01

IK = 25.06

HI = 50.1

MG = 34.01

How to find the missing side

GI is sought knowing that GL = GI = 30

Therefore

GJ = 30 + 30 = 60 units

MH is solved using Pythagoras theorem as follows

MH = √(14² + 31²)

MH = √(196 + 961)

MH = √(1157)

MH = 34.01

IK = KH which is solved using Pythagoras theorem as follows

IK = √(34.01² - 23²)

IK = √(34.01² - 23²)

IK = √(1157 - 529) = 25.06

IK = 25.06

HI = HK + IK

HI = 25.06 + 25.06

HI = 50.1

MG = MH = 34.01 (circumcenter)

User Anton Komyshan
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