document.write( "Question 1203065: You have a quadrilateral with sides measuring 7cm, 8cm, 10cm, and 11cm, and the angle between the two shortest sides is 75°. Calculate the area of the quadrilateral. \n" ); document.write( "

Algebra.Com's Answer #838321 by ikleyn(52790) $\"\"$ $\"About$

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document.write( "(0)  Draw the diagonal in the quadrilateral, opposite to the angle of 75°.\r\n" );
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document.write( "(1)  Using the cosine law, calculate the length of this diagonal.\r\n" );
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document.write( "(2)  Calculate the area \"area_1\" of the smaller triangle using the formula\r\n" );
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document.write( "         area_1 =   (half-product of two side lengths by sine of the angle between these sides).\r\n" );
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document.write( "(3)  Calculate the area \"area_2\" of the larger triangle using the Heron's formula.\r\n" );
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document.write( "(4)  Now the answer is this sum\r\n" );
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document.write( "         area of the quadrilateral = area_1 + area_2.\r\n" );
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