Thursday, February 23, 2023

Geometry Problem 1511: Finding the Altitude of an Isosceles Triangle Using Distances from a Point on the Extension of the Base. Difficulty Level: High School.

Geometry Problem 1511. 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 1511: Finding the Altitude of an Isosceles Triangle Using Distances from a Point on the Extension of the Base. Difficulty Level: High School.

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To post a solution to this problem click Comment underneath the post, or click into the line that says, “Enter Comment.” Type what you want to say and press Publish to post your solution.

Posted by Antonio Gutierrez at 9:18 PM
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4 comments:

  1. Sumith PeirisFebruary 24, 2023 at 12:05 AM

    Let AB = BC = a

    S(ABD) = S(ABC) + S(BCD)
    So 8.a/2 = AH.a/2 + 5a/2

    Hence AH = 3

    Sumith Peiris
    Moratuwa
    Sri Lanka

    ReplyDelete
  2. c.t.e.o.February 24, 2023 at 2:50 AM

    x=3 (apply thales Theorem)
    On the sketch it will be explained

    ReplyDelete
    Replies
    1. c.t.e.o.February 24, 2023 at 9:39 AM

      https://photos.app.goo.gl/SEth1bMRH4V6skpW8

      Delete
  3. c.t.e.o.February 24, 2023 at 11:07 AM

    Second solution: https://photos.app.goo.gl/1K7fVwM8iboF94pa6

    ReplyDelete

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