Pythagorean theorem 1.0

What is the name for the longest side of a right angled triangle?

What is the length of the longest side of a right angled triangle if the two shorter sides are 5cm and 12cm?

__ cm

Answer explanation

Find the length of AB to 1 decimal place.

__ m

Answer explanation

Find the length of EG to 2 decimal places.

__ cm

Answer explanation

Find the length of JK to 1 decimal place.

__ mm

Answer explanation

Is this a right triangle?

• Yes, it is

• No, it isn't

A rectangular swimming pool is 25m wide and 48m long. Calculate the length of a diagonal in meters to 2 decimal places.

__ m

Answer explanation

A ladder is 6m long. How far from the base of a wall should it be placed if it is to reach 5m up the wall? Give your answer in meters correct to 1 decimal place.

__ m

Answer explanation

A tent guy line supports one of the upright tent poles. It runs from the top of the pole to a peg in the ground two and a half meters away from the base of the pole. If the guy line is 397cm long, how tall is the upright tent pole?

Give your answer in centimeters correct to the nearest whole centimeter.

__ cm

Answer explanation

The base is 2.5 m = 250 cm

The guy line is the hypotenuse = 397 cm

Find side a

In the USA, we print on letter sized paper, which is 8.5x12". Most of the world prints on A4 size paper.

How long is the diagonal of an A4 size sheet of paper? The dimensions of A4 paper are 210 by 297 millimeters (8.3 inches × 11.7 inches).

Give your answer in cm to two decimal places.

__ cm

Answer explanation