Week 2 - The Pythagorean Theorem Flashcards
Find the length of the missing side.
12
Find the length of the missing side.
6.5
Find the length of the missing side.
7.2
Determine whether the triangle with the given side lengths is a right:
a = 6, b = 8, c = 10
YES
Determine whether the triangle with the given side lengths is a right triangle:
a = 14, b = 16, c =18
NO
What is the length of the ladder? It’s 6 ft. from the house at the bottom and touches the wall 14 ft. up at the top (see attached image). Simplify your answer.
Find the area of the missing square off of leg a if the area of one square is 369 and the area of another is 81.
Area of missing leg = 369 – 81 = 288
Find the length of the hypotenuse. Round to the nearest tenth if necessary
x = 5 ft.
In triangle ABC, side AB has a length of 6cm and side BC has a length of 10cm. What is the length of side AC?
11.66 cm
In the given triangle, find the missing length to the nearest tenth.
20.2 ft.
A rectangular flower bed is 9 feet wide and 12 feet long. What is the length of the diagonal?
The Diagonal is 15 feet long (shortcut is the use the rule of a 3-4-5 triangle)
The shortest leg of a right triangle is 27 units. The other leg is the solution to 2x – 5 = 67. What is the length of the hypotenuse?
Solve for x to get x = 36
Use Pythagorean Theorem to find length of the Hypotenuse which equals 45
Bobby and his family went to the playground. The slide is 13 feet long. The end of the slide is 7 feet away from the stairs. The stairs extend 2 feet higher than the end of the slide. How tall are the stairs?
Stairs are equal to 12.9. The extension of the stairs is 2 and the rest of the stairs is 10.9.
Persuade Amanda whether the numbers 12, 16, and 20 make a right triangle or not. Make sure to state reasons for and against your belief.
Since 12^2 + 16^2 = 13^2 it satisfied the Pythagorean Theorem which proves that these three sides do form a right triangle. They make up what is called a Pythagorean Triple.
