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Understanding Triangles Ms. Gilma Escobar Grade 7 Learn the names of triangles with equal angles and or sides. Learn how to identify a triangle by the angle measurement inside the triangle. Learn how to identify the triangles with two names. Triangles classified by their sides: Equilateral, Isosceles, and Scalene An equilateral triangle has three equal sides and three equal angles, which will always be 60°. An easy way to remember this triangle is to look at the root word ‘equ’ that is the same as ‘equal’. A scalene triangle does not have any equal sides or equal Isosceles triangles always angles. If you want a trick to have two equal sides in remember this triangle, length, and two equal angles. remember scalene has the One way to remember is to letter ‘n’ in it to help you look at the name, isosceles, remember there are no equal and remember that their sides and or angles. should be an isolated angle with a different measurement. Triangles classified by their angles: Acute, Right, and Obtuse An acute triangle, like the one in the picture above, is a triangle with all three angles less than (<) 90°. I remember this triangle by thinking to myself about how cute and little the angles are since they are all less than 90°. A right triangle is a triangle with an angle of exactly 90°. A 90° angle is called a right angle, and that is how we can remember that this is a right triangle, as well as the little square inside the triangle that tells us this is a right angled triangle. An obtuse triangle has an angle that is greater than (>) 90°. As soon as we identify an angle greater than 90°, we know that it is an obtuse triangle. The ‘o’ in obtuse reminds me of the wider, rounder angle in this triangle. Combining the Names The triangle above has a right angle (90°) and also has two equal angles, therefore we can name this a right isosceles triangle. Can you guess the measurement of the other two angles? This triangle has only acute angles and no equal sides, so we can call it an acute scalene triangle. Note: an angle cannot be obtuse and equilateral at the same time. An equilateral triangle cannot have an obtuse angle because all 3 angles in an equilateral triangle measure 60 degrees. If a triangle has two equal sides and one obtuse angle, we can call that triangle obtuse isosceles triangle. Works Cited Slide 1 images from: http://commons.wikimedia.org/wiki/File:Trianglescalene.svg http://en.wikipedia.org/wiki/Right_triangle Slide 2 and slide 3 images from: http://www.mathsisfun.com/triangle.html Slide four images from: http://mathworld.wolfram.com/Triangle.html http://www.basic-mathematics.com/types-of-triangles.html