Question

RENT is a rectangle its diagonals meet at O If OR=2x+4 , OT= 3x+1 then x= *





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Answer 1

Answer:

3

Step-by-step explanation:

First of all we will prove that OR = OT,

Here's the proof:

We know,

Diagonal of a rectangle bisect each other so,

OR = ON

Similarly,

OE = OT

But, OE + OT = ET

=> OT + OT = ET

=> 2OT = ET

=> ET = 2OT

Also diagonals of a rectangle are equal

So,

RN = ET

But, OR + ON = RN

=> OR + OR = ET

=> 2OR = 2OT

Hence, OR = OT

Now we have,

OR = 2x+4

OT = 3x+1

But, OR = OT

so,

2x + 4 = 3x + 1

=> 3x-2x = 4-1

=> x = 3

and that's the answer.

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