Question

An isosceles right triangle has a hypotenuse measuring 7*(squarerootof2). Draw the triangle in a convenient location on the coordinate plane at the right. Label the coordinates of each vertex.

Answer 1

isosceles triangles have 2 equal sides with a hypotenuse. if the hypotenuse is 7 sqrt2 then by pythagorean theorem: (7*sqrt2)^2= sideA^2+sideB^2
(7^2)*(sqrt2)^2=98

so (A^2)+(B^2)=98

98/2=49

so each side length would be 7