CriteriaĪll three sides are of different measurements.Īll three angles are equal and measure 60° each. Observe the table given below to understand the differences and similarities in scalene, equilateral, and isosceles triangles. A scalene triangle is one in which all three sides and all three angles are of different measurements, an equilateral triangle is one with all three sides and angles equal, and in an isosceles triangle, two sides and two angles are equal in measurement. Each triangle is different from the other on the basis of its unique properties. The three common types of triangles are scalene, equilateral, and isosceles triangles. We can see that the three angles in an isosceles triangle add up to 180°.Scalene Equilateral and Isosceles Triangle We divide 150° into two equal parts to see what angle ‘a’ and ‘b’ are equal to. The size of these two angles are the same. We can subtract 30° from 180° to see what angle ‘a’ and ‘b’ add up to.Īnd so, angles ‘a’ and ‘b’ both add up to 150°.īecause angles ‘a’ and ‘b’ are both opposite the marked sides, they are equal to each other. This time, we know the angle that is not opposite a marked side. Here is another example of finding the missing angles in isosceles triangles when one angle is known. We first add the two 50° angles together.Īngle ‘b’ is 80° because all angles in a triangle add up to 180°. To find angle ‘b’, we subtract both 50° angles from 180°. Now to find angle ‘b’, we use the fact that all three angles add up to 180°. This means that it is the same size as the angle that is opposite the other marked side. This angle is opposite one of the marked sides. Here is an example of finding two missing angles in an isosceles triangle from just one known angle.
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