Q: Can side length 101 99 20 make a right triangle?

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No

Pretty close, but no.

Make it a right triangle where one side of the right triangle is half the length of the non-identical side of the isosceles, the hypotenuse of the right triangle is the length of one of the identical sides of the isosceles triangle, then use the Pythagorean theorem. a^2+b^2=c^2. Where "a" is the length of one of the identical sides, and "c" is the length of half the non-identical sides. Solve for "b" and that is your height.

There is no right triangle on the right! (Ignore the length of the hypotenuse of a right triangle.) if you have the length of the two legs (base and the upright side): (base x upright) ÷ 2 = area of the right angle triangle.

Pythagorean Theorem: a2 + b2= c2 where c is the hypotenuse of a right triangle. Hypotenuse is the side of a right triangle opposite to the right angle.

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No

Pretty close, but no.

One side is not enough. For a right triangle the third side can be calculated by Pythagoras' Theorem if you know the length of any two sides.

right triangle

You can do it only of the triangle is right angled and if one of its legs is the same length as the side of the square. In that case, let that side of the triangle abut a side of the square.

Make it a right triangle where one side of the right triangle is half the length of the non-identical side of the isosceles, the hypotenuse of the right triangle is the length of one of the identical sides of the isosceles triangle, then use the Pythagorean theorem. a^2+b^2=c^2. Where "a" is the length of one of the identical sides, and "c" is the length of half the non-identical sides. Solve for "b" and that is your height.

There is no right triangle on the right! (Ignore the length of the hypotenuse of a right triangle.) if you have the length of the two legs (base and the upright side): (base x upright) ÷ 2 = area of the right angle triangle.

It is a tangent.

Yes

Pythagorean Theorem: a2 + b2= c2 where c is the hypotenuse of a right triangle. Hypotenuse is the side of a right triangle opposite to the right angle.

The secant of an angle in a right triangle is the hypotenuse divided by the adjacent side. The tangent angle of a right triangle is the length of the opposite side divided by the length of the adjacent side.

its too even :)