Isoceles Triangle: Is a triangle that has two sides that are equal length.
Scalene traingle: A triangle that has that all different sides
Right triangle: A triangle that is made up of a right angle.
The Pythagorean Theorem is a mathematical relationship between the sides of a right triangle, given by , where , , and are lengths of the triangle.
Lengths of Triangle Sides Using the Pythagorean Theorem:
To find the length of one side of a triangle, given the other two sides, use the formula a2+ b2= c2
Identifying Sets of Pythagorean Triples
Pythagorean Triple: a set of three integers that make up the three sides of a right triangle for which the Pythagorean Theorem holds true
Examples of Pythagorean Triples:
3, 4, 5
5, 12, 13
7, 24, 25
11, 60, 61
Using Pythagorean Theorem to Classify Triangles:
If a2 + b2= c2 then it is a right triangle. Knowing this, what can you infer if a2 + b > c2 or if a2 + b2 < c2 ?
Using Pythagorean Theorem to Determine Distance:
We can use the Pythagorean Theorem to derive the Distance Formula.
To find the distance between two points, (x1, y1), and (x2, y2), simply plug it into the following formula.