1.

Please solve this word problem. 11. Find the length of the diagonal of a rectanglewhose sides are 15 cm and 8 cm.​

Answer»

\Large{\underline{\underline{\mathfrak{\bf{Question}}}}}

Find the LENGTH of the diagonal of a RECTANGLE whose sides are 15 cm and 8 cm.

\Large{\underline{\underline{\mathfrak{\bf{Solution}}}}}

\Large{\underline{\mathfrak{\bf{\red{Given}}}}}

  • Length of rectangle = 15 cm
  • width of rectangle = 8 cm

\Large{\underline{\mathfrak{\bf{\red{Find}}}}}

  • Length of diagonal

\Large{\underline{\underline{\mathfrak{\bf{Explanation}}}}}

In Rectangle ABCD ,

CD is diagonal of this rectangle ,

Here,

  • AB = 8 cm = CD
  • BC = 15 cm = DA

we know,

\small\boxed{\boxed{\sf{\red{\:Length_{diagonal}\:=\:\pm\sqrt{(lenght)^2+(width)^2}}}}}

Keep value of Length and width ,

\mapsto\sf{\:Length_{diagonal}\:=\:\pm\sqrt{(15)^2+(8)^2}} \\ \\ \\ \mapsto\sf{\:Length_{diagonal}\:=\:\pm\sqrt{225+64}} \\ \\ \\ \mapsto\sf{\:Length_{diagonal}\:=\:\pm\sqrt{289}} \\ \\ \\ \mapsto\sf{\:Length_{diagonal}\:=\:\pm\:17}

But, we know, length always be positive .

So, neglect negative (-ve)sign ,

And, Take positive (+ve) sign .

\mapsto\sf{\orange{\:Length_{diagonal}\:=\:\:17\:cm}}

\Large{\underline{\mathfrak{\bf{\green{Hence}}}}}

  • Length of diagonal of rectangle = 17 cm


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