# Finding any length of a Right-Angled Triangle

Key stage 3 mathematics for using Pythagoras' Theorem to calculate any length of a right-angled triangle.   Learning progresses from working with Pythagorean Triples to calculating the area of a right-angled isosceles triangle when only the hypotenuse is given.
##### Differentiated Learning Objectives
• All students should be able to calculate a smaller side of a Pythagorean Triple
• Most students should be able to calculate any side of a right-angled triangle using Pythagoras’ Theorem
• Some students should be able to apply Pythagoras’ Theorem to composite triangular shapes.

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