Triangle Properties and Measurement Problems

This video tutorial covers problems 16 to 20 from the January 2016 Geometry Common Core New York Region exam. It provides step-by-step solutions and tips for solving right triangle trigonometry, converting circle equations to center-radius form, classifying triangles using slopes, calculating the weight of a sphere from its volume, and solving for segment lengths in similar triangles. The tutorial emphasizes understanding mathematical concepts and avoiding common mistakes.

What is the main goal of the video tutorial?

• To solve math problems quickly.

• To discuss history of mathematics.

• To provide tips and tricks for exams.

• To teach advanced calculus.

In problem 16, which trigonometric function is used to find the measure of angle A?

• Tangent

• Secant

• Cosine

• Sine

What is the measure of angle A to the nearest degree in problem 16?

• 60°

• 55°

• 50°

• 45°

What is the first step in solving problem 17 about the circle's equation?

• Find the diameter.

• Complete the square.

• Use the Pythagorean theorem.

• Calculate the circumference.

What is the radius of the circle in problem 17?

• 6

• 3

• 4

• 5

What type of triangle is triangle RST in problem 18?

• Right

• Scalene

• Isosceles

• Equilateral

How do you confirm that triangle RST is a right triangle in problem 18?

• By using the area formula.

• By calculating slopes.

• By checking side lengths.

• By measuring angles.

What is the weight of the sphere in problem 19 to the nearest pound?

• 22 pounds

• 20 pounds

• 24 pounds

• 18 pounds

In problem 20, what is the ratio of similarity between the two triangles?

• 1:1

• 1:2

• 2:3

• 3:4

What is the length of segment GR in problem 20?

• 21

• 20

• 19

• 18