Question

2) Find the height (to the nearest tenth) of an equilateral triangle with sides measuring 8 cm.

Answer 1

Answer: the height of the equilateral triangle is 6.9 cm

Step-by-step explanation:

In an equilateral triangle, all the sides are equal. Also all the angles are equal and each angle is 60 degrees. The bisectors of each of the angles would meet at the center of the triangle and each bisector divides the triangle into 2 equal right angle triangles as shown in the attached photo.

To determine h, the height of the equilateral triangle, we would apply Pythagoras theorem which is expressed as

Hypotenuse² = opposite side² + adjacent side²

Therefore,

8² = h² + 4²

64 = h² + 16

h² = 64 - 16 = 48

h = √48 = 6.9cm to the nearest tenth.