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Equilateral, Isosceles and ScaleneThere are three special names given to triangles that tell how many sides (or angles) are equal. There can be 3, 2 or no equal sides/angles:
How to remember? Alphabetically they go 3, 2, none:
What Type of Angle?Triangles can also have names that tell you what type of angle is inside:
Combining the NamesSometimes a triangle will have two names, for example:
Play With It ...Try dragging the points around and make different triangles: geometry/images/triangle.js?mode=type You might also like to play with the Interactive Triangle. AnglesThe three interior angles always add to 180° geometry/images/triangle.js?mode=angles PerimeterThe perimeter is the distance around the edge of the triangle: just add up the three sides: geometry/images/triangle.js?mode=perim AreaThe area is half of the base times height.
Area = ½ × b × h The formula works for all triangles. Note: a simpler way of writing the formula is bh/2 Example: What is the area of this triangle?(Note: 12 is the height, not the length of the left-hand side) Height = h = 12 Base = b = 20 Area = ½ × b × h = ½ × 20 × 12 = 120 The base can be any side, Just be sure the "height" is measured at right angles to the "base": geometry/images/triangle.js?mode=area (Note: You can also calculate the area from the lengths of all three sides using Heron's Formula.) Why is the Area "Half of bh"?Imagine you "doubled" the triangle (flip it around one of the upper edges) to make a square-like shape (a parallelogram) which can be changed to a simple rectangle: THEN the whole area is bh, which is for both triangles, so just one is ½ × bh. 6702, 6708,720, 3134, 5032,627,723, 3132, 3133, 7502 Is an equilateral triangle An scalene triangle?There are three types of triangle based on the length of its sides: Equilateral triangle: All sides are equal in length. Isosceles triangle: Two sides are equal in length. Scalene triangle: All sides have different lengths.
Is a equilateral triangle an isosceles triangle?An equilateral triangle is therefore a special case of an isosceles triangle having not just two, but all three sides and angles equal. Another special case of an isosceles triangle is the isosceles right triangle.
How can you tell if an equilateral isosceles or scalene?A triangle is scalene if all of its three sides are different (in which case, the three angles are also different). If two of its sides are equal, a triangle is called isosceles. A triangle with all three equal sides is called equilateral.
Is an equilateral triangle always scalene?If two are of the same length and different from the third side, it's neither equilateral nor scalene triangle. For instance, a triangle with side lengths of 3 , 4 and 5 (in some measurement units) is a scalene triangle, but that with length 4 , 4 and 5 is not.
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