Find the Missing Side
3D Applications
PT Converse
Distance Between Points
Story Problems
100
Use the Pythagorean Theorem to find the missing side of the triangle. Round to the nearest tenth if necessary.
c = 24.4 ft
100
Find the diagonal length of the box. Round to the nearest tenth if necessary.
19.3 in
100
Use the Pythagorean Theorem Converse to prove whether or not the following triangle is a right triangle. Make sure to justify your answer.
Yes
182 + 242 = 302
900 = 900
100
Find the distance between these two points. Round to the nearest tenth if necessary.
6.4
100
Clay went for a run to prepare for his upcoming marathon. From his house, he ran 6 miles north and then 8 miles west. From there, he decided to take a diagonal path back to his house. How many total miles did Clay run?
24 miles
300
Use the Pythagorean Theorem to find the missing side of the triangle. Round to the nearest tenth if necessary.
16 ft
300
Find the slant height of the cone.
slant height = 3.9 ft
300
Use the Pythagorean Theorem Converse to prove whether or not the following triangle is a right triangle. Make sure to justify your answer.
No
15^2 + 12^2 != 21^2
300
Find the distance between these two points. Round to the nearest tenth if necessary.
8.9 units
300
In the figure below, Square 1 has an area is 169 cm2 and the perimeter of Square 2 is 48 cm. What is the area of Square 3?
Area = 25 cm2
500
John set his 17 ft ladder against his house. If the top of the ladder hit his house 14 ft above the ground, how far from the house is the bottom of the ladder? Round to the nearest tenth if necessary.
9.6 ft
500
Find the slant height of the pyramid when the height is 8 in and the side length of the square base is 6 in.
slant height = 8.5 in
500
Betty wants to put a fence around her triangular garden. The sides of her garden measure 7 ft, 10 ft, and 8 ft. Will the fence around her garden form a right triangle? Why or why not?
No
7^2 + 8^2 != 10^2
500
Find the perimeter of the parallelogram.
28 units
500
If the perimeter of Square 1 is 104 ft and the area of Square 2 is 576 ft2, what is the side length of Square 3?
10 ft