Q: If you know the Pythagorean Theorem then you can always find the distance between two points in the plane?

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Not always, the diagonal can be figured out using the Pythagorean Theorem (a²+b²=c²). Where the diagonal is the hypotenuse (c). By rearranging the Pythagorean Theorem, you can see that the diagonal of a square is always 1.4 times the side of the square.

No, the pythagorean theorem only works on right triangles, but it will work on any right triangle. This is because the Pythagorean Theorem states that length of Leg A squared plus the length of Leg B Squared equals the length of the hypotenuse squared. A hypotenuse is always found opposite a right angle. Only right triangles have right angles; therefore, the Pythagorean Theorem only applies to right triangles. :D

Distance between any two points in classic geometry can always be calculated with the Pythagorean theorem. This will work in any number of dimensions. For instance, in the classic 2-dimensional geometry: d = √(x2 + y2) Where x and y represent the distance between the two points on the horizontal and vertical axis. To use this with any other number of dimensions, simply add the appropriate number of variables in the radical. For example, in 3D space, that would be: d = √(x2 + y2 + z2) Or for any number of dimensions: d = √(d12 + d22 + d32 + ... + dn2) This even holds true if you're only working in a single dimension: d = √(x2) d = x

The perpendicular distance between two parallel lines is always the same.

It is the line of a right triangle that connects the two angles that are less than 90°. It is therefore always the longest side of the triangle. It can be found by using the Pythagorean Theorem Formula: a2+b2=c2, where a and b are the lengths of each of the two sides and c is the hypotenuse.

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A.True

A.True

False.

No it never works.

Not always, the diagonal can be figured out using the Pythagorean Theorem (a²+b²=c²). Where the diagonal is the hypotenuse (c). By rearranging the Pythagorean Theorem, you can see that the diagonal of a square is always 1.4 times the side of the square.

Yes Pythagoras' theorem is applicable to right angle triangles

Yes, the Pythagorean theorem gives the exact measurements always. It can be backed up by proofs and sin, cosine, etc.

No, the pythagorean theorem only works on right triangles, but it will work on any right triangle. This is because the Pythagorean Theorem states that length of Leg A squared plus the length of Leg B Squared equals the length of the hypotenuse squared. A hypotenuse is always found opposite a right angle. Only right triangles have right angles; therefore, the Pythagorean Theorem only applies to right triangles. :D

Because in a right angle triangle the square of its hypotenuse is always equal to the sum of each side squared.

The pythagorean theory or pythagorean theorem is a formula to find the leg or the hypotenuse for a right triangle. There are three parts to a triangle, The legs(A2) and (B2). The hypotenuse (C2). The hypotenuse is always the longest side of the triangle it is always adjacent to the 900 angle of the right triangle. The actual pythagorean theorem is A2 + B2 = C2. Example: A=2 B= 4 C=? A2 + B2 =C2 22 + 42 =C2 4 + 16= C2 20=C2 Now you find the square root for the two numbers you just added 4.4 = C

This particular theorem states that the sum of the squares of the two sides of a triangle always equals to the square of the hypotenuse or the biggest side of the triangle. It applies only to right triangles. Right triangles have only one right angle and is always opposite to the hypotenuse.

Pythagoras theorem is always used in right angle triangles. It can be used to find any of the third side is two sides are given, It can also used to find the area of cone if slant height or anything else is missing.