Basic Geometry : Plane Geometry
Study concepts, example questions & explanations for Basic Geometry
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Example Questions
Example Question #12 : How To Find The Length Of The Diagonal Of A Square
Find the length of the diagonal of a square that has a side length of 
The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.
Use the Pythagorean Theorem to find the length of the diagonal.
For the square given in the question,
Example Question #13 : Squares
Find the length of the diagonal of a square that has a side length of 
The length of the diagonal cannot be determined.
The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.
Use the Pythagorean Theorem to find the length of the diagonal.
For the square given in the question,
Example Question #14 : Squares
Find the length of the diagonal of a square with side lengths of 
The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.
Use the Pythagorean Theorem to find the length of the diagonal.
For the square given in the question,
Example Question #15 : Squares
Find the length of the diagonal of a square that has a side length of 
The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.
Use the Pythagorean Theorem to find the length of the diagonal.
For the square given in the question,
Example Question #16 : Squares
Find the length of the diagonal of a square with side lengths of 
The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.
Use the Pythagorean Theorem to find the length of the diagonal.
For the square given in the question,
Example Question #17 : Squares
Find the length of the diagonal of a square that has side lengths of 
The diagonal of a square is also a hypotenuse of a right triangle with the side lengths as legs of the triangle.
Use the Pythagorean Theorem to find the length of the diagonal.
For the square given in the question,
Example Question #671 : Plane Geometry
Find the length of the diagonal of a square whose side length is 
To find the diagonal, you case use the pythagorean theorem or realize that this in isosceles triangle, and therefore the hypotenuse is
Example Question #21 : Squares
A square has side lengths of 
Finding the diagonal of a square is the same as finding the hypotenuse of a triangle, and uses the Pythagorean Theorem. (Imagine the square being sliced diagonally into two triangles, for you visual learners.) Within this theorem, both a and b are the same number, since the sides of a square are equal.
Example Question #672 : Plane Geometry
Find the length of the diagonal of a square whose side length is 3.
To find a diagonal of a square recall that the diagonal will create a triangle in the square for which it is the hypotenuse and the side lengths will be the other two lengths of the triangle.
To solve, simply use the Pythagorean Theorem to solve.
Thus,
Example Question #673 : Plane Geometry
Find the length of the diagonal of a square with side length 2.
To solve, simply use the Pythagorean Theorem. Thus,
Remember, that when simplifying square roots, you can only pull a number out if you have two factors of it. That is why I grouped the end of this answer the way I did so you could see that since I had two squared, I could pull one out, one disappears, and the two on the outside of the parenthesis remains under the radical.
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