Question

An equilateral triangle has an altitude of length 16 cm. Find the length of each side.
Please put an explanation, thanks :)

Answer 1

Answer:

18.4752086141 cm

Step-by-step explanation:

Each angle of an equilateral triangle is 60°

sin 60° = $\frac{h}{x}$

⇒ x = $\frac{h}{sin 60}$

⇒ x = 2h/√3

Using the formula, we get:

x = 2×16/√3

  = 32/√3

  = 18.4752086141