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# www.varsitytutors › intermediate_geometry-help How to find the height of an equilateral triangle

Continuing on this line, what is the altitude of an equilateral triangle whose side is 10? So, we can apply Pythagorean theorem to find the value of AD. According to the Pythagorean theorem (Hypotenuse)2=(Perpendicular)2+(Base)2. Hence, the length of the altitude of the triangle whose side is equal to 10 cm and the triangle is equilateral triangle will be 5√3cm.What you'll learn: Recognize and name the different types of triangles based on their sides and angles How to find altitude of an equilateral triangle. Locate the three altitudes for every type of triangle. Construct altitudes for every type of triangle. Use the Pythagorean Theorem to calculate altitudes for equilateral, isosceles, and right.Altitude of an Equilateral Triangle Formula. For an equilateral triangle, all angles are equal to 60°. In triangle ADB, sin 60° = h/AB We know, AB = BC = AC = s (since all sides are equal) ∴ sin 60° = h/s √3/2 = h/s h = (√3/2)s ⇒ Altitude of an equilateral triangle = h = √(3⁄2) × s. Click now to check all equilateral triangle formulas here.Continuing on this line, what is the formula to find the altitude of an equilateral triangle? Altitude of Equilateral Triangle h = (1/2) * √3 * a. Angles of Equilateral Triangle: A = B = C = 60° How to find altitude of an equilateral triangle.

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