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CLASS 8 · LEARNING KNOWLEDGE

Pythagorean theorem

How it works

In a right-angled triangle, the hypotenuse is the side opposite the right angle. The sum of the squares of the legs equals the square of the hypotenuse.

Note
a²+b²=c²; c=√(a²+b²).

An example

A right-angled triangle has legs of 64 cm and 120 cm. How long is the hypotenuse? Give the result in cm.

c=√(64²+120²)=√18496=136. Result: 136 cm.

Try it yourself now

50 Exercises · three difficulty levels · selection and number input

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Own explanation and own practice exercises by AmyMath. Subject reference framework: KMK Educational Standards Mathematics ESA/MSA. The topic assignment may vary by federal state.