Presentation on theme: "Warm Up Find the value of x. Leave your answer in simplest radical form. 7 x 9 x 7 9."— Presentation transcript:
Warm Up Find the value of x. Leave your answer in simplest radical form. 7 x 9 x 7 9
7.3: Special Right Triangles Objectives: To use the properties of 45-45-90 and 30- 60-90 right triangles
45°-45°-90° Right Triangle It is an isosceles, right triangle– Both legs are congruent!! THEOREM: The hypotenuse is times the length of the legs IF YOU NEED TO FIND THE HYPOTENUSE: Hypotenuse = (Length of Leg) X IF YOU NEED TO FIND A LEG: Length of leg =
A square has a perimeter of 24 inches. How long is the diagonal?
30°-60°-90° Right Triangle Shorter Leg is the side opposite the 30° angle Longer leg is the side opposite the 60° angle Let the shorter leg = n HYPOTENUSE = 2 ∙ SHORTER LEG = 2n LONGER LEG = SHORTER LEG = n
If you need to find the shorter leg (side opposite 30°): If given the hypotenuse: SHORTER LEG = If given the longer leg: SHORTER LEG=
Fill in the table of values for the side lengths of a 30-60-90 triangle: Shorter LegLonger LegHypotenuse 3 4 15 34 10