26) An equilateral triangle has an altitude of 6 cm. What is the length of the sides?

the length of the sides is 6.93 cm

Step-by-step explanation:

In an equilateral triangle, all the sides and angles are equal. The bisectors of each angle meet at the midpoint of the triangle. This means that 3 right angle triangles can be formed. Each of the right angle triangles having angle 60°, 30° and 90°. The altitude of the triangle is the opposite side while the length of each side, x of the equilateral triangle represents the hypotenuse of the right angle triangle.

To find x, we would apply the Sine trigonometric ratio

Sin θ = opposite side / hypotenuse

Sin 60 = 6/h

h = 6/Sin 60 = 6/0.8660

h = 6.93cm

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