Determine if a triangle with the following side lengths is a right triangle 27, 10, 37 5. The diagonal of a rectangle is 45 cm long and makes an angle of 61 with the shorter side of the rectangle. Determine the length and width of the rectangle to the nearest tenth cm. Be sure to show and explain all work. In AABC, you are given ZA=43, ZB = 57 and a = 10.5cm. Calculate to the nearest tenth. Given AABC with a = 7 meters, b =9 meters and c = 10 meters. Find the measure of the largest angle of the triangle to the nearest tenth. 3. Two magnolia trees are 200 feet apart. From the point on the ground halfway between the trees the angles of elevation to the tops of the trees are 25 and 37. Determine the distance, to the nearest tenth, between the tops of the trees. Assume trees grow perpendicular to the ground. Be sure to show and explain all work including a sketch to represent the problem. Given AABC with a = 12 meters, b = 14 meters and c = 20 meters. Find the measurement of ZA to the nearest tenth. 5. A scientist is collecting distance and angle measurement data from a hamster moving inside a hamster wheel. A hamster moves a distance of 10 cm from a position P to position Q. If the diameter of the hamster wheel is 48 cm. Find the measure between 0 and 360 of the central angle (between 0 and 360) to the nearest tenth. Be sure to show and explain all work.