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Simply because the Pythagorean Theorem is not true for any triangle that

doesn't have a right angle in it. If a triangle has a right angle in it, then it

satisfies the Theorem. If it hasn't, then it doesn't.

And if it satisfies the Theorem, then it has a right angle in it, and if it doesn't,

then it hasn't.

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Q: What is the only type of triangle the Pythagorean Theorem can be used on without being given any other measurements besides the sides?

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No because a polygon must have 3 or more sides and the next shape after the triangle is a 4 sided quadrilateral

60 degrees. There are 180 degrees in a triangle.

The interior angles of any shape besides a triangle will add up to 360 degrees.

An equilateral triangle, rhombus, or any regular polygon - pentagon, hexagon, heptagon, ...

An isosceles triangle has at least two equal sides and two equal angles An isosceles triangle has two or more congruent sides called legs. In an isosceles triangle with just two congruent sides, the angle formed by the legs is called the apex, and the other two angles, called base angles, are congruent. If the isosceles triangle has three congruent sides (AKA an equilateral triangle), then all three sides and angles are congruent, and there are no definitive base or vertex angles, besides...all of them. See related link below for the web address

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besides the euphonious theorem, the Pythagorean screw

Trig., Calculus.

the

I'm not sure what you are asking, so I may not be answering your question, but I'll try to the best of my ability.This is only for RIGHT TRIANGLESGiven a right triangle and the angle measurements besides the 90 degree angle of the right angle are 30 and 60 degrees (the combined angle measurements of a triangle always equal 180 degrees), the base is x, the height is xsqrt3, and the hypotenuse (or the longest side opposite the height) is 2x. This shortcut only works for right triangles with the other angle measurements 30 and 60 degrees.For example, you are given a triangle with the base=2 units. Using the shortcut, the height=2sqrt3 units. Then the hypotenuse=4 units.Given a right triangle and the angle measurements besides the 90 degree angle of the right angle are 45 and 45 degrees, the base is x, the height is also x, and the hypotenuse is xsqrt2. This shortcut only works for right triangles with both the other angle measurements equal to 45 degrees.For example, you are given a triangle with the base=2 units. The height is also 2 units. And finally, the hypotenuse=2sqrt2 units.*Another way to find the other side beside the shortcut is by using the Pythagorean Theorum (a2+b2=c2) if you are given the other two side measurements.*

Yes, as well as some Alegebra.

When working with metalwork measurements are to the hundredths frequently.

No because a polygon must have 3 or more sides and the next shape after the triangle is a 4 sided quadrilateral

It would probably have been a trigon, but that is besides the point. The name triangle came first and was widely accepted. You also have quadrilateral rather than tetragon.

60 degrees. There are 180 degrees in a triangle.

Poles, Bermuda Triangle

I usually see ovarian cysts measured in millimeters.

They unified the Chinese language as well as all the measurements and built more roads.

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