Question

Rent is rectangle it's diagonal meet at O.find x,OR=2x+4 and OT=3x+1​

Answer 1

Answer:

Answer:

The value of x is 3.

Solution:

Note: Refer the image attached below.

Given that, OT=3x+1; OR=2x+4

The diagonals in a rectangle have the same length.

\therefore A R=B T∴AR=BT

from the above we can state that OT=OR

\therefore O R=\frac{A R}{2}=\frac{T B}{2}=O T∴OR=

2

AR

=

2

TB

=OT

3 x+1=2 x+43x+1=2x+4

3 x-2 x=33x−2x=3

1 x=31x=3

x = 3x=3

\therefore∴ the value of x is 3.