If all three sides have the same length then it is an EQUILATERAL triangle, if only two sides have the same length then it is an ISOSCELES triangle and if there are no sides that have the same length then it is a SCALENE triangle. numbers indicating length thenĬlassifying a triangle is as simple as comparing the sides. If all three sides of the triangle are a different length then the triangle is a SCALENE triangle.Įxample 1: All three sides have a Example 2: If there are no "marks" and noĭifferent length. If 2 sides of the triangle are the same length then the triangles is an ISOSCELES triangle.Įxample 1: Two sides have a length of 1 Example 2: The "marks" indicate that 2Īnd a 3 rd side has a different sides have the same length.ģ. that each of the three sides have the same length.Ģ. If all the sides are equal (the same length) then the triangle is EQUILATERAL.Įxample 1: All the sides have a length Example 2: The "marks" indicate If all three sides of the triangle are different then the triangle is scalene.ġ. An Isosceles triangle will have at least 2 side lengths that are the same. To be an equilateral triangle all three side length must be exactly the same. This makes it impossible to say that 45 45 90 triangles have the smallest hypotenuses.To classify a triangle by its sides means that we look at the side lengths of the triangle and make a determination as to whether it is an: : Equilateral, Isosceles and Scalene. classifyingscaleneisoscelesandequilateraltrianglesbysidelengthsorangles.htm. Step 2: So given triangle is a scalene triangle.
Since the value of a hypotenuse could be any rational, irrational, or real number, a 45 45 90 triangle could have the smallest hypotenuse of any triangle! However, the infinitesimal nature of these kinds of numbers makes a myriad of possibilities for the length of the hypotenuse of a 45 45 90 triangle. Step 1: Given triangle has sides of different lengths. With the hypotenuse, we have information to determine the following:
If you wanted to take a look at more examples of the 45 45 90 triangle, take a look at this interactive online reference for this special right triangle. You also happen to know a nice formula to figure out what the length of the hypotenuse is (the Pythagorean Theorem) and we'll show you how it will be used. Since you'll also find that this triangle is a right-angled triangle, we know that the third side that is not equal with the others is the hypotenuse. It is an isosceles triangle, with two equal sides. One of these triangles is the 45 45 90 triangle. For a list of all the different special triangles you will encounter in math. These are the ones you'll most typically use in math problems as well. But for the ones that do, you will have to memorize their angles' values in tests and exams.
There's not a lot of angles that give clean and neat trigonometric values. Special triangles take those long numbers that require rounding and come up with exact ratio answers for them. When numbers are rounded, it means that your answer isn't exact, and that's something that mathematicians do not like. Most trig questions you've done up till now have required that you round answers in the end. Special triangles are a way to get exact values for trigonometric equations. Walk through Example and Practice with 45 45 90 triangles.Does a rhombus make 45-45-90 triangles?.
#ISOSCELES TRIANGLE SIDE LENGTHS HOW TO#
How to calculate area of 45-45-90 right triangle.What are the ratios of a 45 45 90 triangle.What is the hypotenuse of a 45 45 90 triangle?.What are the lengths of the sides of a 45 45 90 triangle?.How to prove the 45-45-90 triangle theorem?.Does the pythagorean theorem work for 45 45 90 triangles?.