The ________ states that the square of the hypotenuse is equal to the sum of the square of the other two sides.
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B
Angles A and ________ are complementary.
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Vertex Angle
________- The angle in an isosceles triangle opposite the base.
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Pythagorean Triple
________- A set of three integers a, b, and c such that c2= a2 + b2.
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Hypotenuse
________- The side of a right triangle opposite the right angle.
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Pythagorean Theorem
The three sides of a right triangle can be of any length, provided that they obey the laws of the ________.
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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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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
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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
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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
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c2
b2), where c is the length of the hypotenuse and b is the length of the other leg
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A triangle can be classified by either of these criteria
sides or angles
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We also know the converse
if two sides of a triangle are equal, their opposite angles are equal, and the triangle is isosceles
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The angles of the triangle will be 30, 60, and 90 degrees, giving the triangle its name
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