What is the length of the altitude of the equilateral triangle below?
A: 32
B: 8 : 3
C: 4
D: 4 : 3
E: 1
F: 8

The altitude of the triangle is 4√3 which is the correct option (D)
A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
In any equilateral triangle, the three angles are of equal measure and they equal 60 degrees.
When we drop a perpendicular that is the height of the triangle we have a 30 -60 90 triangle.
The hypotenuse = 8
Let, perpendicular = a and base = 4
According to Pythagoras theorem,
A right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
perpendicular²+base² = hypotenuse²
a² + (4)² = (8)²
a² + 16 = 64
a² = 64 - 16
a² = 48
a = √48
a = 4√3
Hence, the altitude of the triangle is 4√3
Learn more about the right triangle here:
brainly.com/question/6322314
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