Question

The height of an equalateral triangle is 100m then find its area and sides

Answer 1

Answer:

Height of Equilateral Triangle is 100m

Equilateral Triangle has all three sides Equal.

If we draw a median, there will be 2 right angle triangle.

Let's consider side of triangle be x

${x} ^ {2} - {(x/2)} ^ {2} = {100} ^ {2}$

$(3 {x} ^ {2} / 4) = 10000$

Solving this Equation

x = 115.

Side of Triangle = 115

Area of Triangle = 1/2 b h

= 1/2 * 100 * 115

= 5750 ${m} ^ {2}$

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