ABCD is a rectangle whose diagonals
are (2r + 6cm) and (3x+4) cm. Find the
value of r and the length of the diagonals.
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Correct question :-
ABCD is a rectangle whose diagonals
are (2r + 6cm) and (3r+4) cm. Find the
value of r and the length of the diagonals.
Given :-
ABCD is a rectangular whose diagonals are
(2r + 6) and (3r + 4).
To find :-
Length of diagonals and value of r.
Solution :-
It's a rectangular therefore diagonals must be equal.
Using this approach,
2r + 6 = 3r + 4
6 - 4 = 3r - 2r
2 = r
Thus, value of r is 2.
And putting this in given diagonals we get ;
• 2r + 6 = 10cm
• 3r + 4 = 10cm
Value of r is 2 and length of each diagonal is 10cm.
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