Pythagorean Theorem
b = 25 feet
c = ?
c ~ 27.73 feet
What is the distance between (2,3) & (-2,0)
5 units
The bottom of a ladder must be placed 3 feet from a wall. The ladder is 12 feet long. How far above the ground does the ladder touch the wall?
about 11.62 feet
What is the volume of a cube that has a length of 8 cm?
512 cubic cm
Estimate the square root of 17
~4.1
a = 6 in
b = ?
c = 10 in
What is the distance between (-4,5) & (-2,3)
~ 2.83 units
A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across the field. How far do the players run?
150 meters
What is the volume of a cylinder with a radius of 6 meters and a height of 10 meters?
904.32 cubic meters
Solve for x:
3x - 12 = 4x + 8
x = -20
Do the measurements 5, 12, 17 make a right triangle? Prove it.
No, the hypotenuse would have to be 13 to make it a right triangle.
What is the distance between (1,5) & (5,1)
~5.66 units
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
What is the volume of a cone with a radius of 7 inches and a height of 12 inches?
615.44 cubic inches
Find the hypotenuse when the legs of an isosceles triangle are 8 inches
about 11.31 inches
Name a Pythagorean Triple.
Answers vary.
What is the distance between (2,2) & (3,3)
~1.41 units
Sarah sprints 40 meters north, turns the corner and runs 50 meters west. What would be the shortest distance back to her starting point? Round to the nearest whole number.
About 64 meters
What is the volume of a sphere with a radius of 5 feet?
523.33 cubic feet
What is the volume of a rectangular prism with the length of 5 inches, the width of 15 inches, and a height of 10 inches?
750 cubic units
a = ?
b = 6.3
c = 9.7
a ~7.38
What is the distance between the origin (0,0) and (3,3)
~4.24 units
Don rides his bike 10 miles south, then 15 miles west. If he rode the most direct route back to his starting point, how many miles would he save? Round to the nearest whole number.
He would save about 7 miles.
What is the volume of a sphere with a diameter of 8 yards?
267.95 cubic yards
Find the volume of a cone with a diameter of 10 units and a height of 8 units
209.33 cubic units