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• * Used in SAS (included angle):
(side opp. <)2 = (side adj. to <)2 + (other side adj. to <)2 –
2 (adj. side) (other adj. side) cos <
Used when finding a side.
• Solve each triangle. Give measurements to the nearest tenth.
a) a = 8, b = 5, <C = 60°
b) p = 3, q = 8, <R = 50°
Examples
• A Δ has sides of lengths 6, 12, and 15.
a. Find the measure of the smallest <.
b. Find the length of the median to the longest side.
Example
A parallelogram has diagonals of lengths 20 cm and 12 cm. If the diagonals intersect to form a 60 angle, find the perimeter of the parallelogram.
Examples
Two airplanes, at points A and B in the diagram below, have elevations of 23,000 feet and 18,000 feet respectively. Both are flying east toward an airport control tower at T. From T, the angle of elevation of the airplane at A is 4°, and the angle of elevation of the airplane at B is 2.5°. How far apart (in miles) are the airplanes?
Example
x
T
BA
42.518,000 ft
23,000 ft