document.write( "Question 566431: could i find the two missing side lengths of a right triangle if i only know one side length and one angle measure? \n" ); document.write( "
Algebra.Com's Answer #366398 by KMST(5328)![]() ![]() You can put this solution on YOUR website! I see three cases: \n" ); document.write( "1) If the angle measure you have is 90 degrees, it only tells you that the triangle is a right triangle. There's nothing you can do with the information given. \n" ); document.write( "2 and 3) If you know the measure of an acute angle in a right triangle, you know the measure of all three angles. That is so because you know that there is a 90 degree angle, and you can calculate the measure of the third angle by difference. \n" ); document.write( "2) If you also know the length of one side, and you know what angle is opposite that side, then you can find the two missing sides. \n" ); document.write( "3) If you know the length of one side, but you do not know what angle is opposite that side, you have 3 possibilities. \n" ); document.write( "EXAMPLE: \n" ); document.write( "If you tell me that your right triangle has an angle measuring 36.87 degrees and a side measuring 60 mm, I know from the angle and trigonometric functions, that the sides' lengths are in the ratio 3:4:5, with the shorter side opposite the smaller, given angle, and the longer side opposite the right angle. \n" ); document.write( "If I knew that the 60 mm side is the longest one, I would know that the side lengths are 36, 48, and 60 mm. \n" ); document.write( "If I knew that the shorter side measures 60 mm, I would know that the side lengths are 60, 80, and 100 mm. \n" ); document.write( "If the medium length side is 60 mm long, the side lengths are 45, 60 and 75mm. \n" ); document.write( "If I don't know which one is the side that is 60 mm long, I can only say that your triangle is one of those three. \n" ); document.write( " |