Presentation on theme: "Special Right Triangles"— Presentation transcript:
1 Special Right Triangles Lesson 10.4Special Right Triangles
2 Investigation 10.4.2 C-90: Isosceles Right Triangle Conjecture - In an isosceles right triangle, if the legs have thelength of x, then the hypotenuse has thelength of ______.BLANK: x(root 2)HONORS: Algebra can be used to verify this conjecture: “make a right triangle with legs length x and hypotenuse c... plug it into the Pythagorean formula and solve for c...
3 InvestigationC-91: In a right triangle, if the side oppositethe 30 degree angle has length x, then thehypotenuse has the length 2x.
4 Investigation 10.4.4 C-92: 30-60 Right Triangle Conjecture - In a right triangle, if the shorter leg haslength x, then the longer leg has length _____and the hypotenuse has length 2x.Blank: x(root 3)
5 Special Right Triangles In general30-60 Right Triangleaka Right TriangleIsosceles Right Triangle
6 Multiples of Right Triangles Lesson 10.5Multiples of Right Triangles
7 Multiples of Pythagorean Triples C-93: Pythagorean Triples-If you multiply the lengths of all three sides of any right triangle by the same number, the resulting triangle will also be a right triangle.Cross out existing side lengths and replace with multiples...
8 Pythagorean Triples... C-94: If the lengths of the two sides of a right triangle have a common factor, then the third side also has that factor.