# Right Triangles and Trigonometry Geometric Mean Pythagorean Theorem

• Slides: 41

Right Triangles and Trigonometry Geometric Mean Pythagorean Theorem Special Right Triangles Trigonometry 100 100 200 200 300 300 400 400 500 500

Geometric 100 Mean What is Geometric Mean?

Geometric 100 Mean The positive square root of two numbers’ product

Geometric Mean 200 What is the Geometric Mean of 4 and 9 ?

Geometric Mean n 200

Geometric Mean 300 What is the geometric Mean of 36 and 4

Geometric Mean n 300

Geometric Mean 400 What is the Geometric Mean of 25 and 9

Geometric Mean n 400

Geometric 500 Mean Is this statement always, sometimes or never true The Geometric Mean for two perfect squares is a positive integer.

500 Geometric Mean Always Why? “The geometric mean between two numbers is the positive square root of their product”

Pythagorean 100 Theorem What is the equation for Pythagorean Theorem?

Pythagorean Theorem n 100

Pythagorean Theorem 200 What is the value of X ? 8 in. X 14 in

Pythagorean Theorem n 200

Pythagorean Theorem n 300

Pythagorean Theorem n 300

Pythagorean Theorem 400 What is the value of X? 7 in. 14 in. X in.

Pythagorean Theorem n 400

Pythagorean Theorem 500 Do these three numbers form a Pythagorean Triple? 8, 15, 17

Pythagorean Theorem 500 n 64 + 225 = 289

Special Right Triangles 100 X Find X and Y Y* 17 Assume the Shape is a Square

Special Right Triangles 100 n 2 Y = 45

Special Right Triangles 200 Find X and Y 60* 18 X Y

Special Right Triangles n 200

Special Right Triangles n 300

Special Right Triangles 300 Hypotenuse 2. Long Leg 3. Short Leg 4. Short Leg 1.

Special Right Triangles n 400

Special Right Triangles 1. 2. 3. Leg Hypotenuse Leg 400

Special Right Triangles 500 Find the value of x X m. 45 * 6 m.

Special Right Triangles n 500

Trigonometry 100 What is the short phrase that can be used as a hint for problems?

Trigonometry 100 SOH CAH TOA

Trigonometry 200 What does the law of Sines do to find values in a triangle?

Trigonometry 200 Helps to find sides and angles in triangles that are not right triangles but have one complete ratio.

Trigonometry 300 What is the law of Cosines?

Trigonometry 300 Finds sides and angles with no complete ratio

Trigonometry 400 Find x. Assume it is a right triangle. 12 17 x

Trigonometry 400 X = 44. 9

Trigonometry 500 Find x. Assume it is a right triangle 18 x 15

Trigonometry 500 X = 39. 8