Pythag quiz

The dimensions shown on this triangle are incorrect because:

• The square of the largest number does not equal the sum of the squares of the two smaller numbers

• the side opposite the right angle is not marked as the longest side

• sides of that length cannot form a right angled triangle

When using Pythagoras' theorem, it is necessary to:

• add the length of the shorter sides of the triangle

• take the square root of the lengths of the sides

• square the lengths of the sides

• find the different in the lengths of the sides

The hypotenuse is always the side opposite the right angle

• True

• False

This trapezium is made up of a triangle and a square.

Two sides of the triangle have lengths 13 cm and 12 cm while one side of the square forms the third side of the triangle.

The area of the square is

Select all the answers showing that in any right angled triangle, the hypotenuse is the side that:

• forms one of the sides of the right angle

• is the longest

• is opposite the right angle

• is one of the shorter sides

In any right triangle, when the lengths of any two sides are known, the length of the third side:

• can be found using Pythagoras' theorem

• cannot be found using Pythagoras' theorem

• is impossible to find unless another angle is given

In any right angle, the area of the square on one of the shorter side is equal to the area of the square on the hypotenuse minus the area of the square on the third side.

• True

• False

Tom is lying on the grass, holding the end of a kite's string which is 10m long. His friend Jenny is standing directly under the kite 8m away from him.

How high is the kite?

In this triangle the hypotenuse is

• b units

• 13 units

• 12 units

• 100-49

• 100+49

• 49-100