Calculating Distances with Pythagoras' Theorem

What theorem is used to find the distance between two points?

• Euclidean Theorem

• Theorem of Similarity

• Fermat's Last Theorem

• Pythagoras Theorem

How do you calculate the horizontal distance between two points on a coordinate plane?

• Multiply the x-coordinates

• Subtract the x-coordinates

• Add the x-coordinates

• Subtract the y-coordinates

What is the formula for Pythagoras theorem?

• a^3 + b^3 = c^3

• a^2 - b^2 = c^2

• 2a + 2b = c

• a^2 + b^2 = c^2

What represents the hypotenuse in a right-angled triangle?

• The shortest side

• The vertical side

• The horizontal side

• The longest side

What is the first step in finding the distance between two points using Pythagoras theorem?

• Determine the vertical distance

• Determine the horizontal distance

• Plot the points on a graph

• Calculate the hypotenuse

How do you find the vertical distance between two points?

• Divide their x-coordinates

• Subtract their x-coordinates

• Add their y-coordinates

• Subtract their y-coordinates

What is the distance between two points if the legs of the triangle are 6 and 8 units?

• 8 units

• 14 units

• 10 units

• 12 units

In the context of cardinal directions, which two directions form a right angle?

• East and West

• North and South

• South and West

• North and East

How far are you from the other team's base if you are 50 yards north and 20 yards east of your base, and the other base is 80 yards north and 60 yards east?

• 70 yards

• 120 yards

• 50 yards

• 100 yards

If a yacht sails 9 kilometers west and then 7 kilometers south, how far is it from its starting point?

• 9.8 kilometers

• 12.2 kilometers

• 16 kilometers

• 11.4 kilometers