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30-60-90 Triangle
A triangle with a 30, 60, and 90 degree angle.
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45-45-90 Triangle
A triangle with a two 45 degree angles and one 90 degree angle.
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Acute Triangle
A triangle with three acute angles.
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Base Angle
An angle of an isosceles triangle opposite one of the equal sides, i.e. opposite one of the legs.
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Base of an Isosceles Triangle
The side of an isosceles triangle unequal to the other two sides, the legs.
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Equiangular Triangle
A triangle whose angles are all equal.
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Equilateral Triangle
A triangle whose sides are all equal (of equal length).
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Hypotenuse
The side of a right triangle opposite the right angle. The Pythagorean Theorem states that the square of the hypotenuse is equal to the sum of the square of the other two sides.
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Isosceles Triangle
A triangle with at least two equal sides.
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Legs of a Right Triangle
The two sides of a right triangle opposite the two oblique angles.
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Legs of an Isosceles Triangle
The two sides of an isosceles triangle that are equal.
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Obtuse Triangle
A triangle with one obtuse angle.
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Pythagorean Theorem
The theorem that states that the length of the hypotenuse squared is equal to the sum of the squares of the lengths of the legs of a right triangle; c2 = a2 + b2.
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Pythagorean Triple
A set of three integers a, b, and c such that c2 = a2 + b2
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Right Triangle
A triangle with one right angle.
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Scalene Triangle
A triangle with no equal sides.
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Vertex Angle
The angle in an isosceles triangle opposite the base.
Terms
Formulae
| Length of Hypotenuse | c =  a2 + b2), where a and b are the lengths of the legs.
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| Length of a Leg | a = c2 - b2), where c is the length of the hypotenuse and b is the length of the other leg.
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