William Bloom Andre Gruebele Anlon McGuigan Pd. 2 Chapter 8 William Bloom Andre Gruebele Anlon McGuigan

 Geometric Mean ◦  Theorem 8-1 ◦ With an altitude drawn in a triangle it creates 3 similar Triangles 

 Corollary 1- When the altitude is drawn to the hypotenuse of a right triangle, the length of the altitude is the geometric mean between the segments of the hypotenuse.  Corollary 2- When the altitude is drawn to the hypotenuse of a right triangle, each leg is the geometric mean between the hypotenuse and the segment of the hypotenuse that is adjacent to that leg. 

Theorems of Right Triangles  8-2: With a and b being the sides of the right triangle and c being the hypotenuse.  8-3:If, then the triangle is a right triangle.

 8-4 If, then, and is acute  8-5 If, then and is obtuse.

8-6- In a triangle, the hypotenuse is times as long as the leg In a triangle, the hypotenuse is twice as long as the shorter leg, and the longer leg is as long as the shorter leg.

 Sine ◦  Cosine ◦  Tangent ◦  The Negative Exponent ◦ The negative exponent is used when you do not know the or the angle value

4. Find the geometric mean between 3 and Triangle ABC is a right triangle with altitude BD. Solve for x, y, and z.

6. Find x, the length of the longer base of this trapezoid, with a given altitude of Lengths of a triangle are given. Determine if the triangle formed is acute, right, or obtuse or not possible. a. 1,4,6 Not possible because It is a right triangle because b.

(Sorry about random little rectangles over text. I don’t know where they came from)