Hypotenuse
Distance on Coordinate Plane
Apply Pythagorean Theorem
Pythagorean Theorem for 3D Shapes
100
a=4, b=2 solve for c. Round to the nearest tenth if necessary.
4.5
100
What is the distance formula or how do you use Pythagorean Theorem to solve for the distance on a coordinate plane?
d= square root of (x2-x1)^2 + (y2-y1)^2
(x2-x1)^2 + (y2-y1)^2 = c^2
100
What type of triangles do you use Pythagorean theorem for?
Right Triangles
100
A box measures 15 inches by 8 inches by 5 inches. What is the length of its longest diagonal? Round to the nearest whole number.
152 + 82 + 52 = d2
18in
200
a=1, c=5 find b. Round to the nearest tenth if necessary.
4.9
200
Find the distance between (2,0) and (9,10).
Use the distance formula or the Pythagorean Theorem.
Round to the nearest tenth if necessary.
12.2
200
What is the Pythagorean Theorem?
a^2+b^2=c^3
200
Chris is mailing his friend a poster that has been rolled up in a long tube. He has a box that measures 20 inches by 8 inches by 4 inches. What is the maximum length the rolled poster can be?
202 + 82 + 42 = d2
d = 21.9in
300
b=10, c=15 find a. Round to the nearest hundredth if necessary.
11.18
300
Find the distance of the coordinates (-4,-2) and (5,2). Round to the nearest tenth if necessary.
9.8
300
a=4, c=12 find the missing leg. Round to the nearest tenth.
11.3
300
A rectangular prism is 5 inches long, 8 inches wide and 10 inches tall. What is the length of its longest diagonal?
52 + 82 + 102 = d2
d = 13.7
400
Solve for x. Round to the nearest tenth if necessary.
14.7
400
Find the distance between the points A(2,3) and B(-3,-1) by using the distance formula or Pythagorean Theorem. Round your decimal answer to the nearest tenth.
C=6.4
400
The sides of Triangle ABC measure 10, 12, and 15 centimeters. Is it a right triangle? Explain.
No, 244 does not equal 225.
400
A rectangular prism is 3 inches long, 4 inches wide and 8 inches tall. What is the length of its longest diagonal rounded to the nearest tenth?
32 + 42 + 82 = d2
d = 9.4
500
What is the distance between these two coordinates? Round to the nearest tenth: (-2,1) and (4,3)
122 + 42 = C2
C = 12.6
500
What is the distance between these coordinates? Round to the nearest tenth: (3,2) and (7,8)
42 + 62 = C2
C = 7.2
500
Pedro wants to put a fence around an area. The fence will go around the perimeter of the triangle described below.
The triangle has leg lengths of 10 feet and 18 feet. Round to the nearest foot.
About how much fencing does Pedro need?
49ft
500
A garbage can that is the shape of a rectangular prism is 15 inches long, 12 inches wide and 30 inches tall. To the nearest tenth, what is the approximate length of its longest diagonal?
152 + 122 + 302 = d2
d= 35.6 in