Pythagoras' Theorem

Use Pythagoras’ theorem to find the hypotenuse of the right-angled triangle, correct to two decimal places.

Use Pythagoras’ theorem to find the length of the hypotenuse, 𝑥 .

A rectangular gate has dimensions as shown in the diagram above. Determine the length of the diagonal support beam, correct to two decimal places.

What is the length of the rope?

A right-angled triangle has side lengths of 7cm, 24cm and 25cm. Which side length is the hypotenuse?

What is the length of the rope?

Use Pythagoras’ theorem to find the hypotenuse of the right-angled triangle, correct to two decimal places.

Ben (𝐵 ) walks 3.5 km west from 𝑂 and Lisa (𝐿 ) walks 1.8 km south from point 𝑂 . How far is Lisa from Ben? Answer correct to two decimal places.

√16

Find the value of 𝑎 ² + 𝑏 ² when 𝑎 = 5 and 𝑏 = 8 .

Find the value of 𝑏 , correct to two decimal places.

The hypotenuse of this triangle is...

√81

Use Pythagoras’ theorem to find the length of the hypotenuse for the isosceles right-angled triangle shown, correct to two decimal places.

√62.41

Find the length of the unknown side in the right-angled triangle, correct to two decimal places.

3²

Calculate the length of AG, the diagonal of the cube, correct to two decimal places.

√121

Find the diameter of a 14.5 -cm-tall cylindrical pen holder if a pen of length 18.3 cm fits perfectly diagonally in the tin, as shown. Round your answer to two decimal places.

Find the value of 𝑥 , correct to two decimal places.