Exploring Pythagorean Theorem and Special Right Triangles

What is the formula of the Pythagorean theorem?

• a^2 + b^2 = c^2

• a^2 - b^2 = c^2

• a^2 + b^2 + c^2

• 2a + 2b = c^2

What is the length of the hypotenuse in a 45-45-90 triangle if one leg is 'a'?

• a^2

• a * sqrt(2)

• 2a

• a / sqrt(2)

In a 30-60-90 triangle, how is the longer leg related to the shorter leg 'a'?

• a / sqrt(3)

• 2a

• 3a

• a * sqrt(3)

What does the sine function compare in a right triangle?

• Hypotenuse over opposite side

• Opposite side over adjacent side

• Adjacent side over hypotenuse

• Opposite side over hypotenuse

What is the reciprocal of the cosine function?

• Sine

• Cosecant

• Cotangent

• Secant

How do you find the hypotenuse if one leg is 30 and the other is 16?

• Multiplying them together

• Using the Pythagorean theorem

• Adding them together

• Dividing the larger by the smaller

What is the cosecant of an angle if the sine of the angle is 1/2?

• 1/sqrt(2)

• sqrt(2)

• 1/2

• 2

What is the sine of 45 degrees in a right triangle?

• sqrt(2) / 2

• 1 / sqrt(2)

• sqrt(3) / 2

• 1 / 2

What is the cosine of 30 degrees in a right triangle?

• 1 / 2

• 1 / sqrt(3)

• sqrt(2) / 2

• sqrt(3) / 2

What is the tangent of 60 degrees in a right triangle?

• 3

• 1 / sqrt(3)

• sqrt(2)

• sqrt(3)