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Solved Examples
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ff  The sides of a triangle are 2, 3, and 3, then find the largest angle in the triangle to the nearest degree.  ff View Solution
ff  ABCDEF is a regular hexagon inscribed in a circle with center O and a radius of 15 cm. Find the perimeter of the hexagon.
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ff  An equilateral triangle ABC is inscribed in the circle with center 'O' and radius 8 cm. Find the perimeter of the triangle using law of cosines to two significant digits.  ff View Solution
ff  In triangle ABC, if a = 4, b = 3, and c = 5, then find the measure of the angle opposite to the longest side to the nearest degree.
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ff  In triangle DEF, if d = 6, e = 14, and f = 21, then find the measure of angle D to the nearest degree.  ff View Solution
ff  An equilateral triangle ABC is inscribed in the circle with center 'O' and radius 7 cm. Find the perimeter of the triangle using law of cosines to two significant digits.  ff View Solution
ff  A pole is located at a distance of 20 m from one building and 26 m from another. The measure of the angle between the lines joining each building and the pole is 130o. Find the distance between the buildings to two significant digits.
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ff  For any parallelogram, find the ratio of sum of the squares of the lengths of the diagonals to the sum of the squares of the lengths of two adjacent sides.  ff View Solution
ff  Find the length of AC to two significant digits in the parallelogram ABCD.  ff View Solution
ff  Find the area of the parallelogram ABCD to three significant digits.  ff View Solution
ff  ABCDEF is a regular hexagon inscribed in a circle with center O and a radius of 9 cm. Find the perimeter of the hexagon.
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ff  In triangle ABC, if A = 54o, b = 20, and c = 14, then find the length of a to two significant digits. [Simplify using calculator.]
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ff  In triangle DEF, if D = 46o, F = 10, and E = 17, then find the length of D to two significant digits.
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ff  In triangle PQR, if R = 68o, p = 17, and q = 13 then the length of r to two significant digits is  ff View Solution
ff  In triangle ABC,if a = 12, b = 8, and c = 17, find b to the nearest degree.  ff View Solution
ff  In triangle DEF, if d = 9, e = 9, and f = 12, then find the measure of angle F to the nearest degree.  ff View Solution
ff  In triangle ABC, if a = 19, b = 12, and c = 10, then find the measure of angle A to the nearest degree.  ff View Solution
ff  In triangle ABC, if a = 24, b = 7, and c = 25, then find the measure of the angle opposite to the longest side to the nearest degree.
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ff  In triangle DEF, if d = 9, e = 17, and f = 27, then find the measure of angle D to the nearest degree.  ff View Solution
ff  In triangle ABC, if a = 18 units, b = 16, and c = 14, then what is the area of the triangle to three significant digits?  ff View Solution
ff  In triangle PQR, if Q = 62o, p = 15, and r = 12, then find the measure of angle p to the nearest degree.
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ff  In triangle PQR, if Q = 42o40', p = 12.8, and r = 8.6, then find the length of q to three significant digits.  ff View Solution
ff  In triangle ABC, if A = 70o12', b = 22.5 and c = 13.7, then find the length of a to three significant digits.
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ff  In triangle DEF, if E = 112.6o, d = 10.2 and f = 10.2, then find the length of e to three significant digits.
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ff  In triangle ABC, if a = 25.6, b = 18.6, and c = 22.8, what is the measure of angle B to the nearest tenth of one degree?
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ff  In triangle DEF, if d = 8.2, e = 18.3, and f = 24.6, then what is the area of triangle DEF to three significant digits?  ff View Solution
ff  In triangle DEF, if E = 54o30', d = 21.4, and f = 10.6, then Find D to the nearest ten minutes?  ff View Solution
ff  In a quadrilateral ABCD, if AB = 10.6, BC = 14.8, CD = 8.4 and DA = 12.6 and ABC = 70o, then what is the value of x shown in the figure rounded to three significant digits?  ff View Solution
ff  A point R is 24 cm from P and 30 cm from Q as shown in the figure. If angle PRQ is 60o 40', then find the distance between P and Q to three significant digits.  ff View Solution
ff  Find the greatest angle of a triangle whose sides are 3, 5, 7.
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