If the length of a diagonal square is 10 feet, the length of the side of the square is?

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Question:

if the length of a diagonal square is 10 feet, the length of the side of the square is?

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Answer:The side lengths is:a = 5√2 or 7.07 unitsStep-by-step explanation:The diagram is attached below.From the diagram, it is clear that we're dealing with a square, so all side lengths of the square would measure the same length.Moreover, the angles B and D are right, thus we need to use the Pythagorean theorem to find the value of 'a'.Here, a and b are the right containing sidesAs a and b are equal, we consider them as 'a'.Also, 'c' is the hypotenuse.Hence,The diagonal is the Hypotenuse  'c'.soa²+a² = 10²2a² = 100a² = 50a = √50a = 5√2             ∵√50=√25×2=5√2a = 7.07 unitsTherefore, the side lengths is:a = 5√2 or 7.07 units

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