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The equilateral triangle is also the only triangle that can have both rational side lengths and angles (when measured in degrees). When inscribed in a unit square, the maximal possible area of an equilateral triangle is \(2\sqrt{3}-3\), occurring when the triangle is oriented at a \(15^{\circ}\) angle and has sides of length \(\sqrt{6}-\sqrt{2}:\)
Equilateral Triangle Formula. Formulas for the area, altitude, perimeter, and semi-perimeter of an equilateral triangle are as given: Where, a is the side of an equilateral triangle. h is the altitude of an equilateral triangle. (1) h = 3√ a 2. (2) A= 3√ a2 4. (3) p = 3a. (4) s = 3a 2.
When comparing the lengths of a triangle's sides, all three sides may be equal, two sides may be equal, or all three sides may be different lengths. This observation forms the basis of a classification system. In an equilateral triangle, all sides are equal in length. ("Equilateral" is derived from two words: "equi" meaning "equal," and "lateral" ...
For the general triangle, it is a little bit of complex calculation. But, finding the area of an equilateral triangle is comparatively easy. Area of an equilateral triangle can be computed by the formula: A= \frac {\sqrt {3}a^2} {4} Where. Let one side length of the equilateral triangle is “a” units.
This is an Equilateral Triangle. In equilateral triangles all the sides are equal. So we can say that they have identical sides and identical angles. No matter what is the length of the sides, angles in equilateral triangles have a measure of 60° each. Since the sum of the angles in the triangle is 180°, therefore, each angle in the ...
A triangle with three equal sides is called as? Answer: Equilateral triangle. Question 3: What are the 7 types of triangles? Answer: The seven types of triangles that exist in the math are equilateral, right isosceles, obtuse isosceles, acute isosceles, right scalene, obtuse scalene, and acute scalene. Question 4: What are the properties of a ...
In the given figure, an equilateral triangle has been inscribed in a circle of radius 4 cm. Find the area of the shaded region.
In fig., OP is equal to diameter of the circle. Prove that ΔABP is an equilateral triangle.
If two verticies of a triangle ABC are (1, 2, 3) and (3, − 2, 7) and medians intersect each other at (4, − 3, 6) then find the third vertex of the triangle ABC. View Solution Q 4
∆ABC is an equilateral triangle of a side 2a. units.. Find each of its altitudes.
