Seudónimo Seudónimo
  • 25-09-2018
  • Mathematics
contestada

A circle with radius 4 inches is inscribed in an equilateral triangle. Find the area of the triangle.

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 25-09-2018

The inscribed circle has its center at the point of intersection of the angle bisectors, which also happen to be the medians. Hence the altitude of the triangle is 3 times the radius, or 12 inches.

The side length of this triangle is 2/√3 times the altitude, so the area is

... Area = (1/2)·b·h = (1/2)·(24/√3 in)·(12 in)

... Area = 48√3 in² ≈ 83.1384 in²

Ver imagen sqdancefan
Answer Link

Otras preguntas

The following measurements were made to determine the density of a material whose value was, according to the Handbook of Chemistry is 1.26 g/mL Trial #1 = 1.21
Explain the enlightenment views of social contract, natural rights + consent of the governed
Help me please I need some help on this I don't understand this, Please don't scam me.
Write an equation of the line that passes through (−2, −1) and is perpendicular to 2y =3x−5.
Consider the function f(x)= x² - 4
6. A story where aliens from Mars arrive in a spaceship. What genre is this
If m<9 = 105 and m<11 = 3x and m<3 = x + 85 What value of x makes line a parallel to line b? PLEASE HELP AND EXPLAIN Will give 15 more point if correct
name three organs of alimentary canal which food does not pass through​
how did bob dylan influence rock and roll with his style of folk music?
Please help me with this question will give BRAINLIST to best answer