perplexus.info :: Geometry : The Unknown Side

The Unknown Side (Posted on 2002-07-01)

ABC is a triangle:

Angle A < 90.

D is a point on BC such that BD = DC.

M is a point on BC such that AM is perpendicular to BC.

AD = 10,

BC = 12 and

MC = 11
find the length of AC.

See The Solution Submitted by Dulanjana

Rating: 2.9091 (11 votes)

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Pythagoras

| Comment 7 of 16 |

BD=DC therefore BD must be 6 and DC=6
CM=11, 11-6=5 therefore DM=5
AM²=10²-5²=75
AM²+MC²=AC²
75+121=196
√196=14
Answer AC=14

Posted by Michael on 2003-02-02 23:33:45

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