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.Com
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)   (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.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

It is = = = = .

Answer. .


Answer by MathTherapy(10810)   (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.
RELATED QUESTIONS

The vertices of parallelogram ABCD are A(2, 4), B(0, 0), C(6, 2), and D(8, 6). Find the... (answered by ewatrrr)
1. Find the length of the line segment joining the points (5,4) and (-3,4). State the... (answered by HaileyS)
Prove if the diagonals of a paarallelogram are congruent, then the parallelogram is a... (answered by robertb)
A rectangle has coordinates A(-4, 3), B(0, 0), C(6, 8), and D(2, 11). What is the area of (answered by Fombitz)
If the diagonals of a rectangle are represented by (2x2 – 8x + 17 )m and ( x2 + 2x – 7... (answered by unlockmath,MathLover1)
prove that the diagonals of a rectangle are congruent (use coordinate... (answered by Theo)
A parallelogram has vertices (5,0), (3,-3), (-4,-3) and (-2,0). The diagonals of the... (answered by ikleyn)
For the questions below please use always true, sometimes true, or never true. 1.... (answered by Edwin McCravy)
Find the coordinates of the other endpoint of a segment with the given endpoint and... (answered by solver91311)