Question

Adjacent Sides of a Rectangle are in ratio 5:12 , If the perimeter Of the Rectangle is 34 cm , Find the length of Diagonal​

Answer 1

Answer:

Given, The adjacent sides of Rectangle are in Ratio 5:12

Therefore, Let the Sides be 5x and 12x

Then, 5x + 12x + 5x + 12x = 34

$\begin{gathered}:\implies\sf{ 34x = 34}\\ \\ \\ :\implies\sf{ x =} \dfrac{ 34}{34}\end{gathered}$

$\begin {gathered}\pink {\odot} \: \overline {\boxed{\frak {\purple{x = 1 }}}} \end{gathered}$

$\sf Hence\: the\: Sides\: are\: 12cm \: and\: 5cm \bf$

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The length of Diagonal $\sqrt{5² + 12² }$(In a Right angled Triangle Applying Pythagoras theoram)

: $\implies$ $\sqrt{ 25 + 144}$

: $\implies$ $\sqrt{ 169}$

$\begin {gathered}\pink {\odot} \: \overline {\boxed{\frak {\purple{13 cm }}}} \end{gathered}$

Therefore, The length of diagonal Is 13cm.

Answer 2

Answer:

length of diagonal = 13cm

Step-by-step explanation:

refer to attachment

Hope it helps