document.write( "Question 334169: The length of the hypotenuse of an isosceles right triangle is 30 meters. Find the area of the triangle. Round to the nearest tenth,if necessary \n" ); document.write( "
Algebra.Com's Answer #239456 by jrfrunner(365)![]() ![]() You can put this solution on YOUR website! in a right isosceles triangle, the acute angles are equal =45 and the legs are also of equal length \n" ); document.write( "--- \n" ); document.write( "leg length = hypotenuese/sqrt(2)=30/sqrt(2) \n" ); document.write( "-- \n" ); document.write( "Area of the triangle : A=(1/2)*base* height \n" ); document.write( "in an right isosceles triangle, the base is one leg and the height is the other leg. Since the legs are equal in this type of triangle \n" ); document.write( "A=(1/2)leg^2= (1/2)*(30/sqrt(2))^2=30^2/4=225.0 \n" ); document.write( " |