Edexcel IGCSE Math A 4.8.A Pythagoras theorem in 2D

Practise Pythagoras questions by identifying the hypotenuse, forming a squared-length equation and using the result in the wider diagram.

Exam points

Use Pythagoras' theorem to find a missing side in a right-angled triangle.
Identify the hypotenuse before deciding whether to add or subtract squared lengths.
Use the calculated length in perimeter, area or linked-triangle problems.

[Maximum number: 3]

Two circles, $C_{1}$ and $C_{2}$ , are drawn on a centimetre grid, with a scale of 1 cm for 1 unit on each axis.

The centre of circle $C_{1}$ is at the point with coordinates (-1,3) and the radius of $C_{1}$ is 13 cm.

The centre of circle $C_{2}$ is at the point with coordinates (7,18) and the radius of $C_{2}$ is 6 cm.

Work out the distance between the centre of $C_{1}$ and the centre of $C_{2}$

$(18-3)^2+(7-(-1))^2=15^2+8^2=289$ $\sqrt{289}=17$
Final answer:
17

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4.8.A Pythagoras' theorem in two dimensions question 1