In a large equilateral triangle, we draw the incircle. In the incircle, we draw another equilateral triangle. What is the ratio of the area of the smaller equilateral triangle to the larger equilateral triangle?
Answer is 1:4 the ratio of the area of the smaller equilateral triangle to the larger equilateral triangle is 1:4
Let ABC be an equilateral triangle. Let P be any point on its incircle. Prove that:
AP2 + BP2 + CP2 = k for some constant k
A polygon has exactly one side which length is 2, other sides' length are 1. Is it possible to draw an incircle to polygon?
Note: An incircle touches every side of a polygon and completely drawn within the polygon?
In the image, PQU is an equilateral triangle, QRVU is a square and RSTU is a rhombus. Find the perimeter of whole image?
In a circle of radius 1, an equilateral triangle is inscribed in the circle as shown. What is the area of the blue region?
Point P is in the interior of the equilateral triangle ABC. If AP = 7, BP = 5, and CP = 6, what is the area of ABC?