Math, asked by atharv3606, 4 months ago

If a diagonal of a rectangle is 37 cm and one side is 12 cm find other side

Answers

Answered by Anonymous
2

Given:- If a diagonal of a rectangle is 37 cm and one side is 12 cm .

To Find:- The other side .

Solution :- Given that If a diagonal of a rectangle is 37 cm and one side is 12 cm .

So , the Figure would be something like this ; [ If LaTeX doesn't work on app see the attachment or refer to website ]

 \setlength{\unitlength}{1 cm}\begin{picture}(12,8)\thicklines\put(0,0){\line(6,5){5}}\put(5,4.15){\line(0, - 1){4.15}}\put(5,0){\line(-1,0){5}}\put(0,4.15){\line(1,0){5}}\put(0,4.149){\line(0,-1){4.149}}\put(0,-0.3){$\tt A$}\put(5,-0.3){$\tt B$}\put(5,4.46){$\tt C$}\put(0,4.46){$\tt D$}\put(4.8,0){\line(0,1){0.2}}\put(4.8,0.2){\line(1,0){0.2}} \put(5.3,2){$\sf 12 cm$}\put(1.5,2.2){$\sf 37 cm$}\end{picture}

So , In ∆ ABC ;

⇒ AC² = AB² + BC²

⇒ ( 37 cm )² = AB² + ( 12 cm )²

⇒ 1369cm² = AB² + 144cm².

⇒ AB² = 1369 cm² - 144 cm²

⇒ AB² = 1225 cm².

⇒ AB = √ 1225 cm²

AB = 35 cm .

Hence the value of other side is 35 m

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Answered by ranirajyadav9
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