Triangle Sum Theorem & Exterior/Interior Angle Relationship
Triangle Inequality Theorem
Right Triangles & Complementary Angles
Trigonometric Functions & Inverses
Angles of Elevation and Depression
100
The number of degrees in a triangle
What is 180?
100
Which theorem states "the sum of any two sides of a triangle must be greater than the third side length."
What is the Triangle Inequality Theorem?
100
What is the measure of a right angle?
What is "90 degrees?"
100
In right triangle ABC, side AB is 5cm, BC is 4cm, and AC is 3cm. What is the sine of angle A?
What is " 4/5?"
100
Does the angle of elevation or depression open upward?
What is "angle of elevation?"
200
In an isosceles right triangle, what is the measure of the two congruent angles?
What is 45?
200
James proves that a triangle can be formed with side lengths 6 cm, 7 cm, and 14 cm. Is he correct? State a theorem to support your answer.
What is "he is not correct", and "Triangle Inequality Theorem"?
200
______________ angles are two angles that have a sum of 90 degrees.
What is "complementary?"
200
In right triangle ABC, side AB is 5cm, BC is 4cm, and AC is 3cm. What is the tangent of angle A?
What is " 4/3?"
200
An airplane is flying at an altitude of 4,300 feet. The pilot spots the runway at a 22 degree angle of depression. What would be the measure of the angle of elevation from the runway back up to the airplane?
What is "22 degrees?"
300
The two remote interior angles of a triangle add to the ____-___________ __________________ angle of a triangle.
What is non-adjacent exterior?
300
You have a triangle with side lengths 5 cm, 12 cm, and x cm. What are all possible solutions for the third side length?
What is "7cm < x <17cm"?
300
A and B are complementary angles. The m
What is "49 degrees?"
300
In right triangle ABC, side AB is 5cm, BC is 4cm, and AC is 3cm. What is the cosine of angle A?
What is "3/5?"
300
An airplane is flying at an altitude of 4,300 feet. The pilot spots the runway at a 22 degree angle of depression. What is the distance the airplane must travel before it lands?
What is "11,478.71 feet?"
400
The two remote interior angles of a right triangle are 3x and 2x. What is the measure of the non-adjacent exterior angle in terms of x?
What is 5x?
400
Jim walks from his house 3 blocks north to the bookstore and then turns east and walks 5 blocks to the bakery. He then takes a direct route (southwest) back to his house. What could be the possible distances he could walk if this were to form a triangle?
What is "2 < x < 8 blocks"?
400
In right triangle ABC, side AB is the hypotenuse. What are the two complementary angles?
What is "Angle A and Angle B?"
400
In right triangle ABC, side AC is 9cm and side BC is 12cm. What is the m
What is "53 degrees?"
400
A kite with a string 150 feet long makes an angle of 45° with the ground, Assuming the string is straight, how high is the kite? Round to the nearest whole number.
What is "106 feet?"
500
You are a given a right triangle with angle measures of 42 degrees and 3x degrees. Determine the measure of the exterior angle adjacent to the angle measure of 3x degrees.
What is 132 degrees?
500
You are given a triangle with side lengths (3b + 2) and (7b+1). What are the possible side lengths for the third side?
What is "4b -1 < x < 10b + 3"?
500
In right triangle ABC, m
What is "54 degrees?"
500
In right triangle ABC, m
What is "11.66?"
500
A car is traveling up a slight grade with an angle of elevation of 2°. After traveling 1 mile, what is the vertical change in feet? (1 mile = 5,280 ft) Round to two decimal places.