A geometry problem by Foo Shi Quan

Geometry Level 3

- ABC is a right-angled triangle, AB=3,AC=4,angle A is a right angle. BCDE is a square which one of the side is the hypotenuse of triangle ABC. Find the length of AF, nearest to 4 decimals.


The answer is 4.9497.

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1 solution

Foo Shi Quan
Sep 29, 2017

AB=CG=DH=IE=3

AC=DG=EH=IB=4

Hence, AF=FH=AH/2

AH=7(2)^.5

AF=4.9497

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