Can a right triangle be anything other than an isosceles triangle?

Answer 1

Yes. The sides that are adjacent to the right angle may, or may not, be of equal

length. An isosceles right triangle will have proportions: 1-1-sqrt(2).

Consider these right triangles, which are not isosceles: 3-4-5, 5-12-13, 1-sqrt(3)-2; for a few.

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Just like he said:

Definitely. A right triangle can have two equal sides if it wants to, but it's not required.

The only rules there are about the sides of a right triangle are:

-- The side opposite the right angle, called the "hypotenuse", is always the longest side.

-- The square of the length of the hypotenuse is always equal to the sum

of the squares of the lengths of the other two sides.

If the two acute angles of the right triangle aren't equal, then the two legs

won't be equal either.

Here are a few sets of side-lengths for right triangles. There are an infinite number

of other sets:

3, 4, 5 (and all multiples of the set)

5, 9, sqrt(70) (and all multiples of the set)

5, 12, 13 (and all multiples of the set)