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Warmup

Warmup. 1) 2) 3). Designed by Skip Tyler, Varina High School. What is a right triangle?. hypotenuse. leg. right angle. It is a triangle which has an angle that is 90 degrees. The two sides that make up the right angle are called legs .

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Warmup

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  1. Warmup 1) 2) 3) Designed by Skip Tyler, Varina High School

  2. What is a right triangle? hypotenuse leg right angle It is a triangle which has an angle that is 90 degrees. The two sides that make up the right angle are called legs. The side opposite the right angle is the hypotenuse. leg

  3. The Pythagorean Theorem In a right triangle, if a and b are the measures of the legs and c is the hypotenuse, then a2 + b2 = c2. Note: The hypotenuse, c, is always the longest side.

  4. Find the length of the hypotenuse, if a = 3 and b = 4 32 + 42 = c2 9 + 16 = c2 25 = c2 Take the square root of both sides. 5 = c

  5. Find the length of the hypotenuse, if a = 5 and b = 12. 52 + 122 = c2 25 + 144 = c2 169 = c2 Take the square root of both sides. 13 = c

  6. Find the length of the hypotenuse given a = 9 and b = 12 • 21 • 225 • 15 • 18

  7. Find the length of the leg, if a = 7 and c = 25. 72 + b2 = 252 49 + b2 = 625 Solve for b. 16 - 49 + b2 = 625 - 49 b2 = 576 b = 24

  8. Find the length of the missing side given a = 4 and c = 5 • 1 • 3 • 6.4 • 9

  9. A 30-m garden hose is stretched diagonally across a yard. If the width of the yard is 18-m, what is the length of the yard?

  10. 18 m. ? 182 + b2 = 302 324 + b2 = 900 324 – 324 + b2 = 900 – 324 b2 = 576 b = 24

  11. A scuba diver has a taut rope connecting the dive boat to an anchor on the ocean floor. The rope is 50 feet long. The water is 48 feet deep. How far is the anchor from a point directly below the boat?

  12. 50 feet 48 feet

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