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If the perimeter of a square is 20, what is the length of the diagonal ?

User Tuan Chau
by
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1 Answer

2 votes

Answer:

Explanation:

if you know that the perimeter is 20,

then you have to divide by 4 to get the length of one side

20/4=5.

Draw the diagonal and write in it's length as x.

Use Pythagorean formula

Then know that a2+b2=c2

and use the two side lengths as a and b.

This gives you the equation

5^2+5^2=x^2.

Do the calculations and solve the equation.

25+25=x^2

50=x^2

√50=x.

Therefore x=√50 where x equals the length of the diagonal.

User Prusse
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8.2k points

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