SOLUTION: prove that the diagonals of rectangle are equal in length,whoes vertices (0,0),(a,0),(b,0),(a,b)
Algebra.Com
Question 452125: prove that the diagonals of rectangle are equal in length,whoes vertices (0,0),(a,0),(b,0),(a,b)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The endpoints of one diagonal are (0,0) and (a,b). Using the distance formula, the measure of this diagonal is:
^2\ +\ (b\ -\ 0)^2}\ =\ \sqrt{a^2\ +\ b^2})
The endpoints of the other diagonal are (a,0) and (0,b). Using the distance formula you can show that the measure of this diagonal is identical to the other one. You can finish from here.
John
My calculator said it, I believe it, that settles it
RELATED QUESTIONS
show that midpoint of the side of the rectangle are the vertices of rhombus and its... (answered by solver91311)
Apply Slope, Midpoint and Length Formulas
5. The vertices of a quadrilateral are K(-1,... (answered by jim_thompson5910)
Use coordinates to prove that the diagonals of a rectangle are equal in... (answered by richard1234)
The vertices of parallelogram ABCD are A(2, 4), B(0, 0), C(6, 2), and D(8, 6). Find the... (answered by ewatrrr)
: Show that the points, A(0, 0), B(0, 4), and C(4, 0) are the vertices of a right... (answered by greenestamps)
Find a and b that a>0,b>0 and the point (a,b),(1,b) and (a,6) are vertices of a triangle... (answered by math-vortex)
The cube shown in the image has a side length of 3 units and vertex A at A (0,0,0).... (answered by ikleyn)
Prove: The midpoint of the hypotenuse of a right triangle is equidistant from the three... (answered by richard1234)
The coordinates of the vertices of parallelogram RMBS are R(–4, 5), M(1, 4), B(2, –1),... (answered by KMST)
