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