A point is chosen from an equilateral triangle whose edge length is ? = 6 ??. What is the probability that the distance of the chosen point from the centroid of the triangle is less than ? = √6?(In geometry, an equilateral triangle is a triangle in which all three sides are equal. The centroid, of a triangle happens to be the mean of the three vertices, but the definition is the center of mass of the whole triangle.) Q3. A point is chosen from an equilateral triangle whose edge length is a = 6 cm. What is theprobability that the distance of the chosen point from the centroid of the triangle is less thand = v6?(In geometry, an equilateral triangle is a triangle in which all three sides are equal. The centroid,of a triangle happens to be the mean of the three vertices, but the definition is the center of massof the whole triangle.)

From the given data, The distance will be less than 6 if the point lies within a circle of radius 6…

Answered: A point is chosen from an equilateral…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A point is chosen from an equilateral triangle whose edge length is ? = 6 ??. What is the probability that the distance of the chosen point from the centroid of the triangle is less than ? = √6?
(In geometry, an equilateral triangle is a triangle in which all three sides are equal. The centroid, of a triangle happens to be the mean of the three vertices, but the definition is the center of mass of the whole triangle.)

Q3. A point is chosen from an equilateral triangle whose edge length is a = 6 cm. What is the
probability that the distance of the chosen point from the centroid of the triangle is less than
d = v6?
(In geometry, an equilateral triangle is a triangle in which all three sides are equal. The centroid,
of a triangle happens to be the mean of the three vertices, but the definition is the center of mass
of the whole triangle.)

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