Question

RENT is a rectangle (fig.3.4). Its diagonals meet at O.Find x​

Answer 1

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◒GIVEN:-

Diagonals of Rectangle are given

• OT = 3x + 1

• OR = 2x + 4

◒TO FIND:-

• x

◒SOLUTION:-

In Rectangle,

Diagonals are equal

i.e., TE = RN

Now, Divide both the sides by 2

$\leadsto \tt{ \frac{TE}{2} = \frac{RN}{2} }$

$\leadsto\tt{OT = OR}$

$\leadsto \tt{3x + 1 = 2x + 4}$

$\leadsto\tt{3x - 2x = 4 - 1}$

$\leadsto {\tt{ \huge{ \boxed{ \purple{x = 3}}}}}$

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As Diagonals of rectangle bisects each other.

$: \longrightarrow \bf{\: OT = OE = \frac{TE}{2} }$

$: \longrightarrow \bf{OR = ON = \frac{NR}{2} }$

HOPE IT HELPS.