What is is the area of the shaded (in green) shape shown below if ABC is an equilateral triangle of side a = 10 has an inscribed circle, with center O, and is tangent at P and M to the sides AC and AB respectively?įind the coordinates of point C such that triangle ABC is equilateral of side 12 units. using a cognitive computer tool, the Geometers Sketchpad, in a geometry class. All angles of an equilateral triangle measure 60 degrees (60°). In an isosceles triangle ABC, with AB AC, the point M is the mid-point. We can find the shape of a triangle in a rack in billiards, a road side sign board and a slice of pizza, around us. The sides of an equilateral triangle are congruent. What is the area of triangle CA'B' if ABC is an equilateral triangle and A'B' is parallel to AB? In geometry, an equilateral triangle is a triangle whose all three sides are of equal length. What is the ratio of the area of the circumscribed circle to the area of the inscribed circle of an equilateral triangle? What is the radius of the inscribed circle of an equilateral triangle with an area of 100 cm 2? What is the area of the circumscribed circle of an equilateral triangle of side a = 5 inches? What is the area of an equilateral triangle of height 20 units? What is the area of an equilateral triangle of perimeter 45 cm? Problems on equilateral triangles are presented along with their detailed solutions.Īn equilateral triangle has all three sides equal and and all three angles equal to 60° The relationship between the side \( a \) of the equilateral triangle and its area A, height h, radius R of the circumscribed and radius r of the inscribed circle are give by: Problems on Equilateral Triangles with Detailed Solutions
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