Manoj donates his one part of the rectangle land RENT to the school for village children shown in fig. Its diagonal meet at O. Find x, if OR=2x+4 and OT=3x+1.
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We know, diagonals of a rectangle are equal.
TE = NR
1/2 TE = 1/2 NR
Therefore, OT = OR
Substituting values of OT and OR from the question.
2x + 4 = 3x + 1
4 - 1 = 3x - 2x
x=3
Putting x=3
2x + 4 = 2 x 3 + 4
=10
3x + 1 = 3 x 3 + 1
=10
TE = NR
1/2 TE = 1/2 NR
Therefore, OT = OR
Substituting values of OT and OR from the question.
2x + 4 = 3x + 1
4 - 1 = 3x - 2x
x=3
Putting x=3
2x + 4 = 2 x 3 + 4
=10
3x + 1 = 3 x 3 + 1
=10
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