Triangles

Pythagorean Theorem

Pythagorean Theorem

The ________ states that the square of the hypotenuse is equal to the sum of the square of the other two sides.

B

Angles A and ________ are complementary.

Vertex Angle

________- The angle in an isosceles triangle opposite the base.

Pythagorean Triple

________- A set of three integers a, b, and c such that c2= a2 + b2.

Hypotenuse

________- The side of a right triangle opposite the right angle.

Pythagorean Theorem

The three sides of a right triangle can be of any length, provided that they obey the laws of the ________.

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.

30-60-90 Triangle

A triangle with a 30, 60, and 90 degree angle

45-45-90 Triangle

A triangle with a two 45 degree angles and one 90 degree angle

Acute Triangle

A triangle with three acute angles

Base Angle

An angle of an isosceles triangle opposite one of the equal sides, i.e

Base of an Isosceles Triangle

The side of an isosceles triangle unequal to the other two sides, the legs

Equiangular Triangle

A triangle whose angles are all equal

Equilateral Triangle

A triangle whose sides are all equal (of equal length)

Hypotenuse

The side of a right triangle opposite the right angle

Isosceles Triangle

A triangle with at least two equal sides

Legs of a Right Triangle

The two sides of a right triangle opposite the two oblique angles

Legs of an Isosceles Triangle

The two sides of an isosceles triangle that are equal

Obtuse Triangle

A triangle with one obtuse angle

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

Pythagorean Triple

A set of three integers a, b, and c such that c2 = a2 + b2

Right Triangle

A triangle with one right angle

Scalene Triangle

A triangle with no equal sides

Vertex Angle

The angle in an isosceles triangle opposite the base

c2

b2), where c is the length of the hypotenuse and b is the length of the other leg

A triangle can be classified by either of these criteria

sides or angles

We also know the converse

if two sides of a triangle are equal, their opposite angles are equal, and the triangle is isosceles

The angles of the triangle will be 30, 60, and 90 degrees, giving the triangle its name

30-60-90 triangle