SOLUTION: The diagonals of a rectangle are congruent. If the coordinates of a rectangle are M(0,2), A(4,8), T(7,6), and H(3,0) find the length which would be assigned to each diagonal. Stat

Algebra ->  Length-and-distance -> SOLUTION: The diagonals of a rectangle are congruent. If the coordinates of a rectangle are M(0,2), A(4,8), T(7,6), and H(3,0) find the length which would be assigned to each diagonal. Stat      Log On


   

Question 1029088: The diagonals of a rectangle are congruent. If the coordinates of a rectangle are M(0,2), A(4,8), T(7,6), and H(3,0) find the length which would be assigned to each diagonal. State the "exact" length.
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(53763) About Me  (Show Source):
You can put this solution on YOUR website!
.
The diagonals of a rectangle are congruent. If the coordinates of a rectangle are M(0,2), A(4,8), T(7,6), and H(3,0)
find the length which would be assigned to each diagonal. State the "exact" length.
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It is %287-0%29%5E2+%2B+%286-2%29%5E2 = sqrt%287%5E2+%2B+4%5E2%29 = sqrt%2849+%2B+16%29 = sqrt%2865%29 = sqrt%28%284-3%29%5E2+%2B+%288-0%29%5E2%29.

Answer. sqrt%2865%29.


Answer by MathTherapy(10810) About Me  (Show Source):
You can put this solution on YOUR website!

The diagonals of a rectangle are congruent. If the coordinates of a rectangle are M(0,2), A(4,8), T(7,6), and H(3,0) find the length which would be assigned to each diagonal. State the "exact" length.
The diagonals, in this case, are MT, and AH.

Use the distance formula, and either points M and T, or A and H to determine length of diagonal. Leave the answer in radical

form since the EXACT length is required.