SOLUTION: How can you find the area and perimeter of a regular triangle with only the apothem given. Or at least the line from the top to the center, I think thats what its called. In the ca

Question 141090: How can you find the area and perimeter of a regular triangle with only the apothem given. Or at least the line from the top to the center, I think thats what its called. In the case of the problem, the length is ten.
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
The line you have runs from the vertex of one triangle to the opposite side correct?
Since the triangle is regular (equilateral) all 3 sides are the same length. The line from the vertex to the center of the opposite side creates a right triangle with sides 10, x, x/2 . Where x is the hypotenuse.
So use the Pythagorean theorem to solve for x

Area = b*h = 11.55*10 = 115.5
Perimeter = 3*b = 34.65
Is that what you get ?

RELATED QUESTIONS
How do you find the area of a regular polygon if you only have the... (answered by shree840)

hi, i'm struggling with how to find the perimeter of a regular polygon when given only... (answered by jamaalprof)

The apothem of a regular polygon is the perpendicular distance from the center of the... (answered by Earlsdon)

Find the area of an equilateral triangle (regular 3-gon) with the given measurement.... (answered by edjones)

I want to find the area of a regular pentagon and I only have the apothem. Can I do... (answered by htmentor)

What is the apothem and area of a regular triangle with a side length of... (answered by Alan3354)

What is the apothem and area of a regular triangle with a side length of... (answered by math_helper)

What is the area of a regular pentagon with perimeter 10x and apothem... (answered by fcabanski)

how do you find the number of sides in a regular n-gon with these given facts each side... (answered by Edwin McCravy)