Applying Pythagoras

Geometry Level 2

If the square top of a table has a diagonal of 6 feet, find the area of the table top (in square feet).

36 16 18 24

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2 solutions

Hana Wehbi
Jul 22, 2017

Since the diagonal is 6 6 . By applying Pythagoreas theorem, we have x 2 + x 2 = 6 2 = 36 2 x 2 = 36 x^2+x^2= 6^2 = 36\implies 2x^2=36 , where x x is the side of the square (table top) x 2 = 18 \implies x^2=18 . Therefore, the area of the square top is 18 18 .

.how did you get 2 x 2 = 36 2x^2=36 . please,give clear explanation.

Mohammad Khaza - 3 years, 10 months ago

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I have edited my answer.

Hana Wehbi - 3 years, 10 months ago

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thanks.just give me one answer-how can i learn hard latex techniques to post calculus,tough looking problems?

Mohammad Khaza - 3 years, 10 months ago

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@Mohammad Khaza In brilliant, they have solutions writing techniques. When writing a solution, you will see it. Just follow the rules and you would be able to write with latex. I hope that was helpful. Also, if you tag any of the staff, probably they have more advice on that issue.

Hana Wehbi - 3 years, 10 months ago

@Mohammad Khaza Do you want 'Limits'?

Munem Shahriar - 3 years, 10 months ago

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@Munem Shahriar sure. if you know ,please...

Mohammad Khaza - 3 years, 10 months ago

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@Mohammad Khaza Try the code,

\large \lim_{x\to\infty}

It can be different when used

Put the code inside of \ [ \ ] \backslash[\backslash]

Appears as lim x \large \lim_{x\to\infty}

Put the code inside of \ ( \ ) \backslash(\backslash)

Appears as lim x \large \lim_{x\to\infty}

Tell me if this helps. @Mohammad Khaza

Munem Shahriar - 3 years, 10 months ago

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@Munem Shahriar oh! THAT IS WORKING. GREAT!soon i will post and solve calculus problems

Mohammad Khaza - 3 years, 10 months ago

6 2 = x 2 + x 2 6^2=x^2+x^2

36 = 2 x 2 36=2x^2

x 2 = 18 \boxed{x^2=18}

fantastically solved!!

Mohammad Khaza - 3 years, 7 months ago

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