BAIT #77 HGEO

A right triangle is a triangle that has one angle measuring 90 degrees.

The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b): $$a^2 + b^2 = c^2$$ .

Triangles can be classified as acute (all angles < 90°), right (one angle = 90°), or obtuse (one angle > 90°).

Pythagorean triples are sets of three positive integers (a, b, c) that satisfy the Pythagorean theorem: $$a^2 + b^2 = c^2$$ .

The hypotenuse is the longest side of a right triangle, opposite the right angle.

Yes, because $$3^2 + 4^2 = 5^2$$ (9 + 16 = 25).

To find the hypotenuse, rearrange the Pythagorean theorem: $$c = \text{sqrt}(a^2 + b^2)$$ .

An acute triangle is a triangle where all three angles are less than 90 degrees.

An obtuse triangle is a triangle that has one angle greater than 90 degrees.

To determine if a set of numbers (a, b, c) is a Pythagorean triple, check if $$a^2 + b^2 = c^2$$ .