document.write( "Question 309158: how do you find the length of a hypotenuse to the nearest tenth of a right triangle that has the shortest length being 15 ft & the area is 225 ft? \n" ); document.write( "
Algebra.Com's Answer #221035 by texttutoring(324)![]() ![]() You can put this solution on YOUR website! You know that the formula for Area of a triangle is A=bh/2, where b=base and h=height.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "In this question, let's make the base 15 ft. A=225 ft^2\r \n" ); document.write( "\n" ); document.write( "Use the formula:\r \n" ); document.write( "\n" ); document.write( "A=bh/2 \n" ); document.write( "225=(15)h/2 \n" ); document.write( "450=15h \n" ); document.write( "h=30\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the height is 30. This makes a right triangle with legs 15 and 30. Use Pythag's theorem to find the hypotenuse.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "15^2 + 30^2 = c^2 \n" ); document.write( "225 + 900 = c^2 \n" ); document.write( "c = 33.5 ft \n" ); document.write( " |