The perimeter of any polygon is the sum of its side lengths. The altitude of an equilateral triangle bisects the opposite side in equal halves. The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. The perimeter of an equilateral triangle is directly proportional to the length of one of its sides. The perimeter of an equilateral triangle is 60 m. The area is (a)10√3 m 2 (b) 15√3 m 2 (c)20√3 m 2 (d) 100√3 m 2 Thinking Process (i) First, determine the side of an equilateral by usingformula, perimeter=3x. Thus, if an equilateral triangle has a side length of #2#, the perimeter is #2+2+2# because all of its sides are #2#. The perimeter is 17.7 when the length of a side is 5.29. According to Theorem 60, this also means that the scale factor of these two similar triangles is 3 : 4. In an equilateral triangle, all of the sides are congruent (they are the same length). Thus, by applying Pythagoras Theorem, we can calculate the height to be [(sqrt3)/2]*a. The sum of their perimeters is 35 cm. Let a be the length of the sides, A - the area of the triangle, p the perimeter, R - the radius of the circumscribed circle, r - the radius of the inscribed circle, h - the altitude (height) from any side.. The first, and easier one, is recognizing how much of the perimeter the equilateral triangles take up—since there are 40 triangles in total, there must be 40 – 4 = 36 of these triangles. The perimeter of an equilateral triangle is simply the sum of its three sides which are equal in length and is represented as P=3*s or Perimeter=3*Side. Example 4: The areas of two similar triangles are 45 cm 2 and 80 cm 2. Its height is the length of its perpendicular bisector. If you call the triangles Δ 1 and Δ 2, then . An equilateral triangle has three equal angles of 60 degrees each. Let us know if you have any other suggestions! The ratios of the sides of a 30-60-90 triangle are 1 : √3 : 2, where the sides are: Short side = 1 Free Equilateral Triangle Area & Perimeter Calculator - Calculate area, perimeter of an equilateral triangle step-by-step This website uses cookies to ensure you get the best experience. The perimeter of an equilateral triangle can be calculated with this formula: Perimeter = a + a + a = 3a. By observation, each contributes only 1 side to the overall perimeter, thus we can simply multiply 36(5) = … Reduced equations for equilateral, right and isosceles are below. Because the sum of the areas is 75 cm 2, you get . What is the constant of proportionality The perpendicular bisector creates two equal but mirror-image right triangles with angles of 30, 60, and 90 degrees. Scalene Triangle Equations These equations apply to any type of triangle. So, the area of the triangle is: By using this website, you agree to our Cookie Policy. 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