Textbook Question
In oblique triangle ABC, C = 68°, a = 5, and b = 6. Find c to the nearest tenth.
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7. Non-Right Triangles
Law of Cosines
Back7. Non-Right Triangles
Law of Cosines
- Textbook Question
In Exercises 25–30, use Heron's formula to find the area of each triangle. Round to the nearest square unit.
a = 11 yards, b = 9 yards, c = 7 yards
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Solve each triangle. See Examples 2 and 3.
A = 41.4°, b = 2.78 yd, c = 3.92 yd
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In Exercises 1–12, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. If no triangle exists, state 'no triangle.' If two triangles exist, solve each triangle. B = 66°, a = 17, c = 12
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In Exercises 9–24, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree.
a = 63, b = 22, c = 50
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Solve the triangle: , , .
479views - Textbook QuestionIn Exercises 9–24, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree.b = 5, c = 3, A = 102°700views
- Textbook Question
Find the exact area of each triangle using the formula 𝓐 = ½ bh, and then verify that Heron's formula gives the same result.
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Solve each triangle. Approximate values to the nearest tenth.
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Solve each triangle. See Examples 2 and 3.
a = 965 ft, b = 876 ft, c = 1240 ft
619views - Textbook QuestionBe sure that you've familiarized yourself with the first set of formulas presented in this section by working C1–C4 in the Concept and Vocabulary Check. In Exercises 1–8, use the appropriate formula to express each product as a sum or difference.sin 6x sin 2x941views
- Textbook QuestionUse the following conditions to solve Exercises 1–4:4 𝝅sin α = ----- , ------- < α < 𝝅5 25 𝝅cos β = ------ , 0 < β < ------13 2Find the exact value of each of the following.cos (α + β)975views
- Textbook Question
CONCEPT PREVIEW Assume a triangle ABC has standard labeling.
a. Determine whether SAA, ASA, SSA, SAS, or SSS is given.
b. Determine whether the law of sines or the law of cosines should be used to begin solving the triangle.
a, B, and C
757views - Textbook QuestionIn Exercises 13–16, find the area of the triangle having the given measurements. Round to the nearest square unit.a = 2 meters, b = 2 meters, c = 2 meters833views
- Textbook Question
Solve each triangle. See Examples 2 and 3.
A = 80° 40', b = 143 cm, c = 89.6 cm
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