PRECALCULUS 60 POINTS a. Make a sketch of a triangle with sides 50 ft and 30 ft and included angle 153 degrees. Find the length of the third side.
b. Make a sketch of a triangle with sides 8 m, 5 m, and 11 m. Calculate the measure of the largest angle.
c. Suppose you want to construct a triangle with sides 3 cm, 5 cm, and 10 cm. Explain why this is geometrically impossible. Show how computation of an angle using the law of cosines leads to the same conclusion.
d. Sketch triangle DEF with angle D in standard position in a uv coordinate system. Find the coordinates of points E and F in terms of sides e and f and angle D. Use the distance formula to prove that you can calculate D using d^2 = e^2 + f^2 - 2ef cosD