Sec: 7.1 and 7-2 Sol: G.7. Find the geometric mean between each pair of numbers. 4 and 9.

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Presentation transcript:

Sec: 7.1 and 7-2 Sol: G.7

Find the geometric mean between each pair of numbers. 4 and 9

Find the geometric mean between each pair of numbers. 6 and 15

Find the geometric mean between each pair of numbers. 10 and 22

Theorem 7.4: Pythagorean Theorem In a right triangle the sum of the squares of the measures of the legs equals the square of the measure of the hypotenuse. a 2 + b 2 = c 2 a c b Leg Hypotenuse

Lesson 7-2: The Pythagorean Theorem8 Example A B C In the following figure if A = 8 and B = 6, Find C.

Lesson 7-2: The Pythagorean Theorem9 Pythagorean Theorem : Examples 1.A=8, B= 15, Find C 2.A=7, B= 24, Find C A B C C = 17 C = 25

Solve for x x x 4 6

The foot of a ladder is 6 feet from a wall. If the top of the ladder rests 8 feet up a wall, how long is the ladder?

Randy made a ramp for his dog to get into his truck. The ramp is 6 ft long and the bed of the truck is 3ft above the ground. Approximately how far from the back of the truck does the ramp touch the ground?

Donna’s TV screen is 20 inches long. If the diagonal measures 25 inches, what is the width of the tv screen?

Town A is 9 miles from town B, and 12 miles from town C. A road connects towns B and C directly. Find the length of this road.

Theorem 7.5 Converse of the Pythagorean theorem If the sum of the square of the measures of two sides of a triangle equals the square of the measure of the longest side, then the triangle is a right triangle. If a 2 + b 2 = c 2, then ∆ABC is a right triangle. a C B A b c

Tell whether it is a right triangle:

Determine if the triangle is Right, Acute, or Obtuse Right: a 2 + b 2 = c 2 Acute: a 2 + b 2 > c 2 Obtuse: a 2 + b 2 < c 2 Try these: 1) a=10, b=15, c=20 2) a=2, b=5, c=6 3) a=12, b=16, c=20 4) a=11, b=12, c=14 5) a=2, b=3, c=4 6) a=1, b=7, c=7 7) a=90, b=120, c=150