document.write( "Question 894451: find the equation of the right angled isosceles triangle whose vertex is (-2,-3) and whose base is x=0. Plz provide me the answer with detail? \n" ); document.write( "
Algebra.Com's Answer #542059 by josgarithmetic(39630) ![]() You can put this solution on YOUR website! The base is ON the line x=0; the base IS NOT x=0.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The vertex point is to the left of the y-axis, and the base is on the y axis. The triangle as you described is a right triangle of the 45-45-90 type. If you sketch this and have adequate intuition, you see two perpendicular lines containing (-2,-3). Another fact you should quickly find is that distance from (-2,-3) to the base is |2|, or 2. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You are looking for some algebra and coordinate geometry here in a more formal way, but my sketch on paper shows a segment on the y axis of length 4 units. This isosceles triangle is cut into two smaller such triangles sharing the 2-unit length side between them, distance from (-2,-3) to the y-axis.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Slopes of the two longer (hypotenuse) segments are 1, and -1. \n" ); document.write( "y-intercepts are (0,-1) and (0,-5).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You can find the \"equations\" of the lines containing those sides any way you want. Just you can continue knowing the three vertices of (-2,-3); (0,-1); and (0, -5).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " |