Monday, February 27, 2023

Geometry Problem 1515: Mastering Triangle Distance Calculation: Find the Distance from the Intersection of Medians to an Exterior Line. Difficulty Level: High School.

Geometry Problem 1515. Post your solution in the comment box below.
Level: Mathematics Education, K-12 School, Honors Geometry, College.

Details: Click on the figure below.

Geometry Problem 1515: Mastering Triangle Distance Calculation: Find the Distance from the Intersection of Medians to an Exterior Line. Difficulty Level: High School.

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2 comments:

  1. Let AF meet GE at K

    Now AD//GKE//MF and AG = 2.GM, G being the Centroid of Tr. ABC

    So GK = 2/3. MF = 2/3 X 12 = 8
    Moreover AK = 2.KF and so KE = AD/3 = 1
    Hence GE = GK + KE = 8 + 1 = 9

    Sumith Peiris
    Moratuwa
    Sri Lanka

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  2. https://photos.app.goo.gl/aiaGZNFmbPQY2weu9

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