5. a golfer, teeing off on an easy par 3 hole from point a, hits the ball to point b. the second stroke movies the ball from point b to c (on the green), ten feet away from the hole (point d). write the component form for
ab, bc, ad
, bc ad

5b. if the golfer makes a ten foot putt from point c into the hole (at point d), then how far did the ball travel en route from a to b to c to d? ( hint: use the pythagorean triples 3,4,5; 5,12,13; and 8,15,17 and a scale of 1 unit = 10 feet.


5c. how far would the ball travel for a hole in one (a to d)?

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

ab: 2 n83b8eb7ebi. 8e yen in

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).