Question No. 4 The area of an equilateral triangle is half the area of a rhombus which in turn is equal to one third the area of

Question

1 year ago

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a regular hexagon. Find the ratio of the length of each side of the triangle to that of the hexagon.

1 answer:

____ [38] · Answer 1 · 2023-11-17T03:10:40+03:00

The ratio of the length of each side of the triangle to that of the hexagon is

<h3>What is equilateral triangle?</h3>

The triangle which has all the three sides equal in dimension is called the equilateral triangle.

According to the question,

Area of triangle = Area of rhombus = Area of hexagon

1/2 base x height = 1/2 diagonal1 xdiagonal2 = (3√3 / 2) side²

The triangle has equal base and height = a.

The hexagon has each side measuring b.

1/2 a² = (3√3 / 2) b²

Ratio of sides of triangle and hexagon is

a²/b² = 3√3

a/b = √ 5.19615

a/b = 2.2795

Thus, the ratio of each side of the triangle to that of the hexagon is 2.2795.

Learn more about equilateral triangle.

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