Find the value of 𝑎 ² + 𝑏 ² when 𝑎 = 5 and 𝑏 = 8 .
89
10
The hypotenuse of this triangle is...
AB
15
A right-angled triangle has side lengths of 7cm, 24cm and 25cm. Which side length is the hypotenuse?
25cm
5
Use Pythagoras’ theorem to find the length of the hypotenuse, 𝑥 .
25cm
15
Use Pythagoras’ theorem to find the hypotenuse of the right-angled triangle, correct to two decimal places.
10.85m
15
Use Pythagoras’ theorem to find the hypotenuse of the right-angled triangle, correct to two decimal places.
4.12m
15
Use Pythagoras’ theorem to find the length of the hypotenuse for the isosceles right-angled triangle shown, correct to two decimal places.
15.84m
15
A rectangular gate has dimensions as shown in the diagram above. Determine the length of the diagonal support beam, correct to two decimal places.
3.03m
15
Find the value of 𝑏 , correct to two decimal places.
6.24cm
15
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.
11.16cm
20
Find the length of the unknown side in the right-angled triangle, correct to two decimal places.
0.56cm
15
Find the value of 𝑥 , correct to two decimal places.
2.83
25
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.
3.94km
20
Calculate the length of AG, the diagonal of the cube, correct to two decimal places.