Pythagoras' Theorem

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

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.

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 .

What is the length of the rope?

√121

The hypotenuse of this triangle is...

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

√16

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

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

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

What is the length of the rope?

Use Pythagoras’ theorem to find the hypotenuse of the right-angled triangle, 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

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

√81

Calculate the length of AG, the diagonal of the cube, 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.