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Triangle And Incircle Question?
I have a triangle ABC of Area 200 cm²
There is a incircle incribed in it with radius = 8 cm
Find the perimeter of triangle.
Now the second part of the question.
Find area of circle.
@ gohpihan : 64 * pi is approximately equal to 200.2 which is more than area of triangle which seems impossible or my question has a flaw.
1 Answer
- gôhpihánLv 71 decade agoFavorite Answer
radius of incircle * semi perimeter of triangle = area of triangle
8 * (p/2) = 200
4p = 200
p = 50
==> perimeter = 50 cm
Are you serious? You got the radius of the circle, and you don't know how to find the area of the circle?
Area of circle = pi * radius^2 = pi * (8)^2 = 64pi
yeah i notice the flaw even before you asked me to find the area of the circle, hard to believe eh? anyway, I think your question is flawed. No matter how you see it, there's no way an incircle is bigger than the triangle.
Unless you meant 3 congruent ecircles around the triangle. Wait. Checking for possible scenarios here.
edit: I've exhausted my brain for 4 minutes now thinking of a possible typo in your question, like (radius should be diameter), (incircle should be 3 ecircles), (maximizing the area of triangle) bla bla bla.
