Question

The Length and the breadth of a rectangular hall are 24m and 18m respectively what is the length of the largest straight line that can be drawn on the floor of the hall​

Answer 1

$\large\underline{ \underline{ \sf \maltese{ \: Question:- }}}$

• The Length and the breadth of a rectangular hall are 24m and 18m respectively what is the length of the largest straight line that can be drawn on the floor of the hall

$\large\underline{ \underline{ \sf \maltese{ \: Given:- }}}$

• The Length of the Hall = $\sf\green{\: 24m }$
• The Breadth of the Hall = $\sf\green{\: 18m }$

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$\large\underline{ \underline{ \sf \maltese{ \: Solution:- }}}$

The largest line that can be drawn in this hall is the distance from one corner to the opposite corner that is the diagonal on the floor of the hall

This Diagonal is the hypotenuse of the right angle triangle, with side 24m and 18m

$\begin{gathered}\begin{gathered}\begin{gathered}: \implies \underline\blue{ \boxed{\displaystyle \sf \bold\orange{\: ( \: Length \: )^{2} \: + \: ( \: Breadth \: )^{2} \: = \: ( \: Diagonal \: )^{2} }} }\\ \\\end{gathered}\end{gathered}\end{gathered}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ ( \: 24 \: )^{2} \: + \: ( \: 18 \: )^{2} \: = \:( \: Diagonal \: )^{2} }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ 576 \: + \: 324 \: = \:( \: Diagonal \: )^{2} }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ 900\: = \:( \: Diagonal \: )^{2} }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \: \sqrt{900} \: = \:Diagonal \: }}$

$\qquad \quad {:} \longrightarrow \sf{\sf{ \: 30\: = \:Diagonal \: }}$

$\qquad\quad {:} \longrightarrow \underline \red{\boxed{\sf{Diagonal \: = \: 30m }}}$

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The length of the largest straight line that can be drawn on the floor of the hall is 30m

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More For Knowledge:-

• According to Pythagoras Theorem the sum of the square of the sides of a right angle triangle is equal to the square of the hypotenuse.

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Answer 2

$\large\underline{ \underline{ \sf \maltese{ \: Question⤵}}}$

The Length and the breadth of a rectangular hall are 24m and 18m respectively. what is the length of the largest straight line that can be drawn on the floor of the hall.

AnsWer ⬇

Given :

Length = 24m

Width = 18m

The largest straight line can be drawn on the floor of the hall only through it's diogonal.

The length of the diogonal of the hall can be found using Pythagoras theorem.

Length of diogonal = √(24² + 18²)

= √(576 + 324)

= √900

= √30 × √30

= 30m.

Notebook solution :

In attachment.