document.write( "Question 973914: If a right triangle has lengths of 10, 24 and 26 feet, what is the measurement of the smallest angle?
\n" ); document.write( " Round your answer to the nearest whole angle (Points : 1) \n" ); document.write( "
Algebra.Com's Answer #595958 by addingup(3677)\"\" \"About 
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a: 10
\n" ); document.write( "b: 24
\n" ); document.write( "c: 26
\n" ); document.write( "Using the Law of Cosines, first we find angle A:
\n" ); document.write( "cos A = (b^2 + c^2 − a^2) / 2bc
\n" ); document.write( "cos A = (24^2 + 26^2 − 10^2) / (2×24×26)
\n" ); document.write( "cos A = (576 + 676 − 100) / 1248
\n" ); document.write( "cos A = 0.92
\n" ); document.write( "A = cos^−1(0.92)
\n" ); document.write( "A = 23.07°
\n" ); document.write( "A = 23.1° to one decimal place.\r
\n" ); document.write( "\n" ); document.write( "Now let's find B:
\n" ); document.write( "cos B = (c^2 + a^2 − b^2)/2ca
\n" ); document.write( "cos B = (676 + 100 − 576)/(2×26×10)
\n" ); document.write( "cos B = (676 + 100 − 576)/ 520
\n" ); document.write( "cos B = 0.6875
\n" ); document.write( "B = cos^−1(0.3846)
\n" ); document.write( "B = 67.38°
\n" ); document.write( "B = 67.4° to one decimal place\r
\n" ); document.write( "\n" ); document.write( "Finally C: The angles of EVERY triangle add up to 180. Thus:
\n" ); document.write( "180-23.1-67.4= 89.5 is your angle C.
\n" ); document.write( "Answer:
\n" ); document.write( "A = 23.1°
\n" ); document.write( "B = 67.4°
\n" ); document.write( "C = 89.5°
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