Solving Right Triangles: Key Concepts and Techniques

What theorem is used to solve for missing sides in a right triangle?

• Euler's Theorem

• Theorem of Cosines

• Theorem of Sines

• Pythagorean theorem

Which function is used to find the side opposite to a given angle in a right triangle?

• Tangent

• Cosine

• Cotangent

• Sine

What is the sum of angles in any triangle?

• 360 degrees

• 180 degrees

• 90 degrees

• 270 degrees

How do you verify the sides of a right triangle once calculated?

• Using the sine rule

• Multiplying the sides

• Summing the angles

• Using the Pythagorean theorem

What is the correct calculation for the side adjacent to a 40-degree angle using cosine?

• sin(40 degrees) / 10

• cos(40 degrees) / 10

• 10 / cos(40 degrees)

• 10 * cos(40 degrees)

Which trigonometric function is used to relate the opposite side and adjacent side in a right triangle?

• Tangent

• Cosine

• Secant

• Sine

How do you find the hypotenuse if given one side and an angle in a right triangle?

• Using the cosine function

• Using the sine function

• Using the cotangent function

• Using the tangent function

What is the result of using the inverse tangent function on a ratio?

• A hypotenuse length

• An angle in degrees

• A side length

• An angle in radians

If side a is 2 and side b is 8 in a right triangle, what is the length of side c?

• Approximately 8.25

• 10

• 6

• 8

What angle results from the inverse tangent of 8/2?

• 60 degrees

• 30 degrees

• Approximately 75.96 degrees

• 45 degrees