Question

Use the Pythagorean Theorem to find the distance to the nearest tenth, between F(9, 5) and G(-2, 2). (Hint: Place F and G on the coordinate plane. Then sketch a triangle with FG as the hypotenuse.) ...?

Answer 1

Put a point H on (9, 2).  Sketch a triangle out of the three points.  Distance between (-2, 2) and (9, 2) is going to be 11.  Distance between (9, 2) and (9, 5) is going to be 3.    These correspond to the a and b of the Pythagorean Theorem
c^2=a^2+b^2
c=√11^2+3^2=√130
Square root of 130 is 11.4