A triangle with triangle with a triangle

Geometry Level 3

In the following figure , D D is the midpoint of B C BC . Find x

Bonus: Find its value in any other form of the given variables.

a 2 + b 2 + d 2 − c 2 4 \dfrac{a^2 + b^2 + d^2 - c^2}{4} c + d − h 2 \dfrac{c + d - h}{2} None of these h + d 3 \dfrac{h + d}{3}

Vinayak Bansal by Vinayak Bansal , 17, India

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1 solution

Charlie Feinson
Dec 9, 2017

Pythagoras.

x = d 2 − h 2 x=\sqrt{d^2-h^2}

This is not equivalent to any of the options.

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