Law of Sines PDF - Kuta Software Infinite Algebra 2

Kuta Software - Infinite Algebra 2 Name___________________________________ The Law of Sines...

Kuta Software - Infinite Algebra 2 Name___________________________________ The Law of Sines Date________________ Period____ Find each measurement indicated. Round your answers to the nearest tenth. 1) Find AC 2) Find AB A A 24 118° 22° 7 C B 53° 44° C B 3) Find BC 4) Find AB C B C 51° 63° 9 101° A B 27 39° A 5) Find BC 6) Find m∠C C A 58° 16.1 88° 21 16 93° B C 26 B A 7) Find m∠C 8) Find m∠C A A 24 82° 103° 6 24 20 C 26 B C 29 B 9) Find m∠A 10) Find m∠C A A 9 97° 19 33 25 C B 22 129° C 11 B ©K w2T0v1X2R 4KouktTa9 wS4osfjttwoa2rgeI jLYL0C7.j k pAblAlA frkiqgFh2tQs8 4rde3sweNrdvyeIdl.4 L EMxald4eJ Gw5iKtOha AIGn8fpieneiltMe4 oAflPgReSbJrNaE c2b.v -1- Worksheet by Kuta Software LLC  Solve each triangle. Round your answers to the nearest tenth. 11) m∠A = 70°, c = 26, a = 25 12) m∠B = 45°, a = 28, b = 27 13) m∠C = 145°, b = 7, c = 33 14) m∠B = 73°, a = 7, b = 5 15) m∠B = 117°, a = 16, b = 38 16) m∠B = 84°, a = 18, b = 9 17) m∠B = 105°, b = 23, a = 14 18) m∠C = 13°, m∠A = 22°, c = 9 State the number of possible triangles that can be formed using the given measurements. 19) m∠C = 63°, b = 9, c = 12 20) m∠B = 33°, a = 27, b = 22 21) m∠B = 29°, a = 14, b = 19 22) m∠B = 95°, b = 24, a = 5 23) m∠A = 29°, c = 18, a = 17 24) m∠B = 35°, a = 24, b = 6 Find the area of each triangle to the nearest tenth. 25) 26) F R 11 cm 28° 7.6 km 6.7 km 99° E 11 cm D Q P 27) 28) H Y 7 mi 12 mi 36° K 4 mi P 50° X 5 mi Z ©r u280X1A2h fKIuSteaN vSuorf7t0wSakrheI 7LyLjCc.n T nAflVlu rr3izgshwtisy arrersRedrTvAeTdd.N z aMKamdDeg BwqimtShp KIQn9fUiEniiNtFeU qASl3gyePbOrBa5 z28.K -2- Worksheet by Kuta Software LLC  Kuta Software - Infinite Algebra 2 Name___________________________________ The Law of Sines Date________________ Period____ Find each measurement indicated. Round your answers to the nearest tenth. 1) Find AC 2) Find AB A A 14 24 118° 22° 7 8 C B 53° 44° C B 3) Find BC 4) Find AB C 17 B C 51° 63° 9 101° A B 29.1 27 39° A 5) Find BC 6) Find m∠C C A 58° 16.1 88° 21 33 16 93° 53.8° B C 26 B A 7) Find m∠C 8) Find m∠C A A 24 82° 103° 6 24 13° 20 C B 26 43.1° C 29 B 9) Find m∠A 10) Find m∠C A A 9 97° 19 33 25 59° 15° C B 22 129° C 11 B ©E T2Q0n1F2z 9KmuVt5aJ TS4o8fjtqwwaxrMeP NLYLcCb.U U IArlhlQ ZrHiggShrtgs4 QrnevsLe9rBvveVdr.y W vMbapdRe3 rwBigt3hh oI2ngfGiPndiltqeL IAWl6gBeMbsrZaq a2O.s -1- Worksheet by Kuta Software LLC  Solve each triangle. Round your answers to the nearest tenth. 11) m∠A = 70°, c = 26, a = 25 12) m∠B = 45°, a = 28, b = 27 m∠B = 32.2°, m∠C = 77.8°, b = 14.2 m∠C = 87.8°, m∠A = 47.2°, c = 38.2 Or m∠B = 7.8°, m∠C = 102.2°, b = 3.6 Or m∠C = 2.2°, m∠A = 132.8°, c = 1.5 13) m∠C = 145°, b = 7, c = 33 14) m∠B = 73°, a = 7, b = 5 m∠A = 28°, m∠B = 7°, a = 27 Not a triangle 15) m∠B = 117°, a = 16, b = 38 16) m∠B = 84°, a = 18, b = 9 m∠C = 41°, m∠A = 22°, c = 28 Not a triangle 17) m∠B = 105°, b = 23, a = 14 18) m∠C = 13°, m∠A = 22°, c = 9 m∠C = 39°, m∠A = 36°, c = 15 m∠B = 145°, a = 15, b = 22.9 State the number of possible triangles that can be formed using the given measurements. 19) m∠C = 63°, b = 9, c = 12 20) m∠B = 33°, a = 27, b = 22 One triangle Two triangles 21) m∠B = 29°, a = 14, b = 19 22) m∠B = 95°, b = 24, a = 5 One triangle One triangle 23) m∠A = 29°, c = 18, a = 17 24) m∠B = 35°, a = 24, b = 6 Two triangles None Find the area of each triangle to the nearest tenth. 25) 26) F R 11 cm 28° 7.6 km 6.7 km 99° E 11 cm D 59.8 cm² Q P 12 km² 27) 28) H Y 7 mi 12 mi 36° K 4 mi P 50° X 5 mi Z 8.2 mi² 23 mi² Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com ©U O280J1n2o WKbuitXa5 aSQoRfItdwXaSrMeA jLDLYCO.v N gA5lPlp zrbiZgmhBtfs6 frBeksUeTrQvPeUdA.H P gMdazdses fwgiPtehC wIYnNfzitnsiWtleI RAhlWgCelbDr6ac 52F.C -2- Worksheet by Kuta Software LLC