Understanding Triangles and Trigonometry

The video tutorial explores a triangle problem, identifying unknowns and properties of isosceles and equilateral triangles. It calculates angles and side lengths using triangle properties and the Pythagorean Theorem. The tutorial concludes with finding trigonometric ratios for specific angles.

What is the first step in solving for the unknowns in the given triangle?

• Determine the perimeter of the triangle

• Calculate the area of the triangle

• Identify the type of triangle

• Find the midpoint of the triangle

In an isosceles triangle, what can be said about the base angles?

• They are supplementary

• They are different

• They are complementary

• They are congruent

What is the measure of angle beta in the isosceles triangle?

• pi over four radians

• pi over two radians

• pi over three radians

• pi radians

How do you calculate the unknown angle x in the triangle?

• By using the Pythagorean theorem

• By subtracting known angles from pi

• By using the sine rule

• By using the cosine rule

What is the measure of angle alpha in the triangle?

• pi over six radians

• pi over three radians

• pi over two radians

• pi radians

What theorem is used to find the length of side a in the triangle?

• Sine rule

• Cosine rule

• Pythagorean theorem

• Area formula

What is the length of side b in the triangle?

• 3

• Square root of 3

• 2

• 1

What is the sine of angle alpha?

• 1

• Square root of 3

• Square root of 3/2

• 1/2

What is the cosine of angle alpha?

• Square root of 3/2

• 1/2

• 1

• Square root of 3

What is the tangent of angle alpha?

• Square root of 3/3

• Square root of 3

• 1/2

• 1