Let $DEF$ be an equilateral triangle with side length $3.$ At random, a point $G$ is chosen inside the triangle. Compute the pro
bability that the length $DG$ is less than or equal to $1.$
2 answers:
Answer:
13.44%
Step-by-step explanation:
For DG to have length of 1 or less, point G must be contained in a sector of a circle with center at point D, radius of 1, and a central angle of 60°.
The area of that sector is



The area of the triangle is



The probability is the area of the sector divided by the area of the triangle.

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