A = B SECTION 7-1 Jim Smith JCHS. The Geometric Mean Between 2 Numbers ( A and B ), Is The Number That When Substituted For X Will Make This Proportion.

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Presentation transcript:

A = B SECTION 7-1 Jim Smith JCHS

The Geometric Mean Between 2 Numbers ( A and B ), Is The Number That When Substituted For X Will Make This Proportion True AX = XB

Find the geometric mean between 4 and 9 between 4 and 9 4X = X9 X² = 36 X² = 36 X = 6 X = 6

Find the geometric mean between 3 and 15 3X = X15 X² = 45 X² = 45 X = 3 5 X = 3 5 X = 6.7 X = 6.7

8 is the geometric mean between 2 and what number 28 = 8X 2X = 64 X = 32 X = 32

A B The Altitude Drawn To The Hypotenuse In A Right Triangle Divides The Hypotenuse Into 2 Parts. The Altitude Is The Geometric Mean Between The 2 Parts. Alt AAlt = Alt B

8 5 X 8X = X5 X² = 40 X = 40 X = 40 X = 2 10 X = 2 10 X = 6.3 X = 6.3 Find X

Each Leg Is The Geometric Mean Between The Part Of The Hypotenuse Adjacent To The Leg And The Whole Hypotenuse Y Z W X YW = W Y+Z ZX X =

8 5 R T 8T = T8+5 T² = 8 ( 13 ) T² = 104 T = 104 T = 104 T = 2 26 T = 2 26 T = 10.2 T = 10.2 Find T

8 5 R T 5R = R5+8 R² = 5 ( 5+8 ) R² = 5 (13 ) R² = 65 R = 65 R = 65 R = 8.1 R = 8.1 Find R