Basic Geometry : How to find the length of the side of a square

Study concepts, example questions & explanations for Basic Geometry

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Example Questions

Example Question #41 : How To Find The Length Of The Side Of A Square

If the diagonal of a square is , what is the length of one side of the square?

Possible Answers:

Correct answer:

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

1

Use the Pythagorean Theorem to find the length of the diagonal.

For the square given in the question,

Simplify.

Example Question #41 : How To Find The Length Of The Side Of A Square

If the diagonal of a square is , what is the length of one side of the square?

Possible Answers:

Correct answer:

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

1

Use the Pythagorean Theorem to find the length of the diagonal.

For the square given in the question,

Simplify.

Example Question #41 : How To Find The Length Of The Side Of A Square

If the diagonal of a square is , what is the length of one side of the square?

Possible Answers:

Correct answer:

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

1

Use the Pythagorean Theorem to find the length of the diagonal.

For the square given in the question,

Simplify.

Example Question #42 : How To Find The Length Of The Side Of A Square

If the diagonal of a square is , what is the length of one side of the square?

Possible Answers:

Correct answer:

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

1

Use the Pythagorean Theorem to find the length of the diagonal.

For the square given in the question,

Simplify.

Example Question #311 : Squares

If the diagonal of a square is , what is the length of one side of the square?

Possible Answers:

Correct answer:

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

1

Use the Pythagorean Theorem to find the length of the diagonal.

For the square given in the question,

Simplify.

Example Question #41 : How To Find The Length Of The Side Of A Square

If the diagonal of a square is , what is the length of one side of the square?

Possible Answers:

Correct answer:

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

1

Use the Pythagorean Theorem to find the length of the diagonal.

For the square given in the question,

Simplify.

Example Question #311 : Squares

If the diagonal of a square is , what is the length of one side of the square?

Possible Answers:

Correct answer:

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

1

Use the Pythagorean Theorem to find the length of the diagonal.

For the square given in the question,

Simplify.

Example Question #41 : How To Find The Length Of The Side Of A Square

If the diagonal of a square is , what is the length of one side of the square?

Possible Answers:

Correct answer:

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

1

Use the Pythagorean Theorem to find the length of the diagonal.

For the square given in the question,

Multiply the top and bottom of the fraction by one in the form of 

Solve.

Simplify.

Example Question #312 : Squares

If the diagonal of a square is , what is the length of one side of the square?

Possible Answers:

Correct answer:

Explanation:

The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.

1

Use the Pythagorean Theorem to find the length of the diagonal.

For the square given in the question,

Multiply the top and bottom of the fraction by one in the form of 

Silve.

Simplify.

Example Question #41 : How To Find The Length Of The Side Of A Square

Given that the area of a square is , solve for  the lengths of the sides.

Possible Answers:

Correct answer:

Explanation:

To find the answer to this question, the formula for area is needed. 

Plugging in the numbers, we get:

This is also written as 

Take the sqare root of 16, and you get:

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