Given right triangle A w/a hypotenuse length of 3y + x and a leg of y-x, and right triangle B, w/ a hypotense length of y+5 and a leg length of x+5, for what values of x and y are the triangles congruent by HL?
we use the law of correspondence that is Hypotenuse = Hypotenuse Leg = Leg
3y + x = y + 5 and y - x = x + 5 --------------------------------- work on your first problem to find x x = -2y + 5 now you can plug this in to your second equation to sub in for the x y - ( -2y + 5 ) = ( -2y + 5 ) + 5 y + 2y - 5 = -2y + 10 3y - 5 = -2y + 10 5y = 15 y = 3 Now you can plug back in to solve for x
3y + x = y + 5 3(3) + x = (3) + 5 9 + x = 8 x = -1 so y = 3 and x = -1
