Given: R(1,1), S(9,4) and T(1,7). Prove that ΔRST is not a right triangle.

Question

Given: R(1,1), S(9,4) and T(1,7). Prove that ΔRST is not a right triangle.

may use the grid if need.

Answer 1

d^2 = sum of squares of y differences & x differences

RS^2 = 64+9 = 73

ST^2 = 64+9 = 73

TR^2 = 36

to be a right triangle, the hypotenuse would be larger than either of the other sides

This triangle has no hypotenuse

If (9,4) had been (9,1) or (9,7) or (x,1) or (x,7) where x is any number other than 1 or 7, it would have been a right triangle