Question 1: The length of the hypotenuse of a right triangle is 1 cm more than triple that of the shorter leg. The length of the longer leg is 1 cm less than triple that of the shorter leg. Find the lengths of the three sides of the triangle. Question 2: If a baseball is batted at an angle of 35 to the ground, the distance the ball travels can be estimated using the equation d = 0.0034s2 + 0.004s – 0.3, where s is the bat speed, in km/hr, and d is the distance flown, in metres. At what speed does the batter need to hit the ball in order to have a home run where the ball flies 125 m? Round to the nearest tenth. Question 3: A rectangular gardent measures 5 m by 7 m. Both dimensions are to be extended by the same amount so that the area of the garden is doubled. By how much should the dimensions increase, to the nearest tenth of a metre?