Shortest distance

Geometry Level 3

An equilateral triangle with side length 10 m is inside a circle with diameter 15 m. The center of the circle is also the center of the triangle. What is the shortest distance between the circle and the triangle. (round off to one decimal point)


The answer is 1.7.

A Former Brilliant Member by A Former Brilliant Member

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1 solution

h = h= 1 0 2 − 5 2 \sqrt{10^2-5^2} = 8.66 =8.66

t a n 30 = tan 30= y 5 \frac{y}{5}

y = 2.89 y=2.89

m = h − y = 8.66 − 2.89 = 5.77 m=h-y=8.66-2.89=5.77

x = 7.5 − 5.77 = 1.7 m x=7.5-5.77=1.7 m

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