document.write( "Question 693459: It says, \"Sketch the triangle and use the Law of Cosines to find the indicated value. Round your answer to the nearest hundreth.\"\r
\n" ); document.write( "\n" ); document.write( "Find the third side of a triangle with sides of 120cm and 100cm and an included angle of 47 degrees.\r
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\n" ); document.write( "\n" ); document.write( "Find the two smaller angles in a triangle with sides of 7in, 7in, and 13in.\r
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Algebra.Com's Answer #427454 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
It says, \"Sketch the triangle and use the Law of Cosines to find the indicated value. Round your answer to the nearest hundreth.\"\r
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document.write( "The Side-Angle-Side version of the law of cosines is:\r\n" );
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document.write( "\"%28matrix%284%2C1%2C%0D%0ASide%2Copposite%2Cgiven%2Cangle%29%29%5E2\" = \"%28matrix%286%2C1%2C%0D%0AFirst%2Cgiven%2Cside%2Cof%2Cgiven%2Cangle%29%29%5E2\" + \"%28matrix%286%2C1%2C%0D%0ASecond%2Cgiven%2Cside%2Cof%2Cgiven%2Cangle%29%29%5E2\" - 2·\"%28matrix%286%2C1%2C%0D%0AFirst%2Cgiven%2Cside%2Cof%2Cgiven%2Cangle%29%29\"·\"%28matrix%286%2C1%2C%0D%0ASecond%2Cgiven%2Cside%2Cof%2Cgiven%2Cangle%29%29\"·\"%28matrix%284%2C1%2C%0D%0ACosine%2Cof%2Cgiven%2Cangle%29%29\"\r\n" );
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document.write( "   x² = 120² + 100² - 2·(120)·(100)·cos(47°)\r\n" );
document.write( "   x² = 14400 + 10000 - 16367.96064\r\n" );
document.write( "   x² = 8032,039359\r\n" );
document.write( "    x = 89.62164559 cm\r\n" );
document.write( "Round to nearest hundredth:\r\n" );
document.write( "    x = 89.62cm\r\n" );
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\n" ); document.write( "Find the angle opposite the longest side in a triangle with sides of 43ft, 48ft, and 65ft.
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document.write( "The Side-Side-Side version of the law of cosines is:\r\n" );
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document.write( "\"%28matrix%284%2C1%2C%0D%0ACosine%2Cof%2C+any%2C+angle%29%29\" = \r\n" );
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document.write( "cos(θ) = \"%2843%5E2%2B48%5E2-65%5E2%29%2F%282%2A43%2A48%29\"   \r\n" );
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document.write( "cos(θ) = \"%281849%2B2304-4225%29%2F4128\"\r\n" );
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document.write( "cos(θ) = \"-72%2F4128\"\r\n" );
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document.write( "cos(θ) = -0.0174418605\r\n" );
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document.write( "Find the inverse cosine\r\n" );
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document.write( "    θ = 90.99939567° round that to 91.00°\r\n" );
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\n" ); document.write( "Find the two smaller angles in a triangle with sides of 7in, 7in, and 13in.
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document.write( "You do this one by yourself.  It's a Side-Side-Side case and is done exactly\r\n" );
document.write( "like the previous one. [The triangle is isosceles, that's why I labeled both\r\n" );
document.write( "smaller angles the same, θ).\r\n" );
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document.write( "Edwin
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