An equilateral triangle has an altitude of length 16 cm. Find the leng

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

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

Answer»

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

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

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