Similar Right triangles Section 8.1. Geometric Mean The geometric mean of two numbers a and b is the positive number such that a / x = x / b, or:

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Presentation transcript:

Similar Right triangles Section 8.1

Geometric Mean The geometric mean of two numbers a and b is the positive number such that a / x = x / b, or:

Altitude of Right Triangle If the altitude is drawn to the hypotenuse of a right triangle, then the two triangles formed are similar to the original triangle and to each other.

Altitude of Right Triangle

Geometric mean In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into 2 segments The length of the altitude is the geometric mean of the lengths of the two segments.

Geometric mean cont.

The length of each leg of the right triangle is the geometric mean of the length of the hypotenuse and the segment of the hypotenuse that is adjacent to the leg

Geometric mean cont.

Other Forms of Geometric Mean Formulas

Find X