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What is the length of the altitude of the equilateral triangle below?

What is the length of the altitude of the equilateral triangle below?-example-1
User Abu Hanifa
by
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1 Answer

3 votes

Answer:

Option B =6.


Explanation:

In any equilateral triangle the three angles are of equal measure and they equal 60 degrees.

When we drop a perpendicular that is height of triangle a we have a 30 -60 90 triangle .In any 30 -60 -90 triangle the sides are in the ratio 1:√3:2

In the given triangle the longer leg that is the side opposite to 60 degree angle represent the height of the triangle.THe side opposite to 30 degrees is the shorter leg We can find the long leg by multiplying the short leg by the square root of 3.

Altitude of triangle=2√3(√3)=2(3)=6.


User Dustytrash
by
6.9k points
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