Pythagorean Theorem Converse
Pythagorean Theorem
Trigonometry
Real World Pythagorean Theorem and Trigonometry
Random
100
Can the side lengths 7, 24, 25 form a triangle? If so, classify the triangle as acute, right, or obtuse.
Right triangle
100
Use the Pythagorean theorem to solve for x. Round to the nearest tenth.
13.5 inches
100
What does sin(X) equal as a ratio in a simplified fraction?
3/5
100
Mr. Frankenstein wants to purchase a suitcase. The shopkeeper tells Mr. Frankenstein that he has a 30 inch suitcase available and that the height of the suitcase is 18 inches. Calculate the length of the suitcase.
24 inches
100
Two sides of a right triangle have the lengths of 4 and 6. What are two possible lengths for the remaining side? Round to the nearest tenth.
x= 4.5 or x= 7.2
200
Can the side lengths 4, 11, 16 form a triangle? If so, classify the triangle as right, obtuse, or acute.
Not a triangle
200
Use the pythagorean theorem to solve.
a = 3
b = 4
c = ?
5
200
Find the angle measure of Angle Z. Round to the nearest tenth.
53.1 degrees
200
A 15.6 inch laptop is featured in a sales ad for $799. The distance of the laptop is measured diagonally across the screen. If the screen measures 7.8 inches in height, what is the width of the screen? Round to the nearest tenth.
13.5 inches
200
Generous peers
Give another team points :)
300
Can the side lengths 6, 8, 12 form a triangle? If so, classify the triangle as obtuse, acute, or right.
Acute triangle
300
Use the pythagorean theorem to solve. Round to the nearest tenth.
a = 7
b = ?
c = 16
14.4
300
Solve for x. Round to the nearest tenth.
5.5
300
You are standing 45 yards from a telephone pole. There is a black crow on the top of the pole and you make eye contact with it. You estimate that the angle of elevation is 40°. If you are five feet tall, approximately how tall is the telephone pole? Round to the nearest foot.
43 yards
300
A shark is swimming 28 feet below sea level. If the angle of depression from a boat on the water to the shark is 19 degrees, what is the horizontal distance between the boat and the shark? Round to the nearest tenth.
81.3 feet
400
Can the side lengths 3, 8, 28 form a triangle? If so, classify the triangle as acute, obtuse, or right.
Not a triangle
400
Use the pythagorean theorem to solve. Round to the nearest hundredths
11.6 miles
400
Solve for the missing angle measure. Round to the nearest degree.
68 degrees
400
A 14-foot ladder is used to scale a 13-foot wall. At what angle of elevation must the ladder be situated in order to reach the top of the wall? Round to the nearest degree.
68 degrees.
400
Which trigonometric ratios have a value of 12/13? You should have two answers.
Cos R and Sin T.
500
Can the side lengths 11, 19, 28 form a triangle? If so, classify the triangle as acute, obtuse, or right.
Obtuse triangle
500
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to sprint diagonally across the field from one corner to another. How far do the players run?
150 meters
500
A spectator in the stands spots the team mascot on the field at an angle of depression of 46 degrees. If the spectator is sitting 35 feet above the ground, what is the horizontal distance between the spectator and the mascot? Round to the nearest tenth.
33.8 feet
500
How far from the base of the house do you need to place a 15’ ladder so that it exactly reaches the top of a 12’ wall?
9 feet
500
Isn't it ironic, don't you think??
You and another group of your choosing loses points :(