Question

An equilateral triangle has a height of 3.32 cm. Draw the picture and use this information to determine the length of the sides of the triangle.

Answer 1

The answer is a=b=c=3.833 cm

Step-by-step explanation:

Lets call the variables a=side a b=side b c=side c

We have that the formula of the equilateral triangle for its height is:

1)h=(1/2)*root(3)*a

2) If we resolve the equation we have

2.1)2h=root(3)*a

2.2)(2h/root(3))=a

3) After the replacement of each value we have that

a=2*3.32/1.73205

a=3.833 cm

And we know that the equilateral triangle has the same value for each side so a=b=c=3.833 cm