Pythagoras' Theorem

Pythagoras' Theorem

Pythagoras' Theorem

hyp² = side² + side²

Multiple Choice

Choose the correct value for the hypotenuse

• 6cm

• 4.47cm

• 5.43cm

• 4.99cm

Multiple Choice

Choose the correct value for the hypotenuse

• 8.43cm

• 9.16cm

• 7.39cm

• 6.33cm

Multiple Choice

Choose the correct value for the hypotenuse

• 7.55cm

• 9.12cm

• 8.34cm

• 7.15cm

Multiple Choice

Choose the correct value for the missing side

• 5.0cm

• 3.85cm

• 6.56cm

• 4.45cm

Multiple Choice

Choose the correct value for the missing side

• 7.33cm

• 3.01cm

• 2.55cm

• 4.1cm

Multiple Choice

Choose the correct value for the missing side

• 4.36cm

• 3.5cm

• 6.16cm

• 5.55cm

Special Triangles

• 3, 4, 5

• 5, 12, 13

Multiple Choice

Use special triangles to find the missing side of this triangle

• 28cm

• 20cm

• 18cm

• 4cm

Multiple Choice

Use special triangles to find the missing side of this triangle

• 20cm

• 180cm

• 60cm

• 40cm

Multiple Choice

Use special triangles to find the missing side of this triangle

• 45cm

• 26cm

• 50cm

• 39cm

Showing whether a triangle is right angled

Use the given sides and work out Pythagoras' Theorem. If both sides match, then the triangle is right angled. Remember to put the longest side as the hypotenuse.

Multiple Choice

Is this triangle right angled?

• Yes

• No

Multiple Choice

Is this triangle right angled?

• Yes

• No

Word Problems

Have a go at these questions.

Give your answers correct to 1 decimal place

Open Ended

A ship moves 10km due North and then 15km due East. How far is it from its starting point?

Open Ended

A ladder 4m long, is leaning against a building. The foot of the ladder is 1.5m away from the building. How far up the building does the ladder reach?