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Solved Examples
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e   The sides of a triangle are 2, 3, and 3, then find the largest angle in the triangle to the nearest degree.   e View Solution
e   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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e   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.   e View Solution
e   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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e   In triangle DEF, if d = 6, e = 14, and f = 21, then find the measure of angle D to the nearest degree.   e View Solution
e   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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e   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.   e View Solution
e   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.   e View Solution
e   Find the length of AC to two significant digits in the parallelogram ABCD.   e View Solution
e   Find the area of the parallelogram ABCD to three significant digits.   e View Solution
e   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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e   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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e   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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e   In triangle PQR, if R = 68o, p = 17, and q = 13 then the length of r to two significant digits is   e View Solution
e   In triangle ABC,if a = 12, b = 8, and c = 17, find b to the nearest degree.   e View Solution
e   In triangle DEF, if d = 9, e = 9, and f = 12, then find the measure of angle F to the nearest degree.   e View Solution
e   In triangle ABC, if a = 19, b = 12, and c = 10, then find the measure of angle A to the nearest degree.   e View Solution
e   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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e   In triangle DEF, if d = 9, e = 17, and f = 27, then find the measure of angle D to the nearest degree.   e View Solution
e   In triangle ABC, if a = 18 units, b = 16, and c = 14, then what is the area of the triangle to three significant digits?   e View Solution
e   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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e   In triangle PQR, if Q = 42o40', p = 12.8, and r = 8.6, then find the length of q to three significant digits.   e View Solution
e   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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e   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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e   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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e   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?   e View Solution
e   In triangle DEF, if E = 54o30', d = 21.4, and f = 10.6, then Find D to the nearest ten minutes?   e View Solution
e   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?   e View Solution
e   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.   e View Solution
e   Find the greatest angle of a triangle whose sides are 3, 5, 7.
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