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Unformatted text preview: the short leg is 5 yards. Exercise 2a ) LaTonyas lawn is in the shape of a right triangle. The area of the lawn is 20 square yards. If the shorter leg o f the triangle is 3 yards less than the longer leg, what are the lengths of the legs of the triangular lawn? x 2  3x 40=0 (x8) (x+5)=0 Quadratic Applications 1) Legend: Let x = short leg x+3 = Long leg 2) Draw a picture: 15 ft x+3 3) Formula: a 2 + b 2 = c 2 4) Equation: x 2 +(x+3) 2 =15 2 x 2 +x 2+ 6x+9=225 2x 2  6x  216 = 0 (x9)=0 or (x+12)=0 x=9 or x = 12 Eliminate the negative answer. So. .x=9 Go back to the legend and calculate the long leg. The short leg is 9 feet and the long leg is 12 feet. Exercise 3a ) Shays garden is in the shape of a right triangle. The hypotenuse is 15 feet, and the longer leg is 3 feet more than the shorter leg. What are the lengths of the two legs? 2(x 2  3x 108)=0 2(x9) (x+12)=0 x or leg 2 + leg 2 = hypotenuse 2...
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 Fall '10
 JanetFrewing

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