Pythagoras’ Theorem – GCSE Maths Boost

Pythagoras’ theorem helps you find the missing side of a right-angled triangle.

$a^{2} + b^{2} = c^{2}$

It says:

$a^{2} + b^{2} = c^{2}$

a and b are the two shorter sides.
c is the hypotenuse — the longest side, opposite the right angle.

Easy way to remember

Square the two shorter sides → add them → square root the answer.

⚠️ You can only use Pythagoras when the triangle has a 90° right angle.

Pythagoras' Theorem

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A television has a diagonal length of 50 inches.
The ratio of the length of the television to the width of the television is 4:3
What is the length and the width of the television?
Give your answers correct to 1 decimal place.
Length: inches
Width: inches