Pythagoras’ Theorem (HSC SSCE Mathematics Standard): Quizzes

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Pythagoras' Theorem
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What does Pythagoras' theorem connect in a right-angled triangle?

The three sides

Which side of a right-angled triangle is the hypotenuse?

The side opposite the right angle

What does Pythagoras' theorem state about the hypotenuse?

Its square equals sum of squares of sides

When can you use Pythagoras' theorem?

Only for right-angled triangles

When finding the hypotenuse, what do you do with the squares of the known sides?

Add them together

When finding a shorter side, what operation do you use?

Subtract then take square root

Which side is always the longest in a right-angled triangle?

The hypotenuse

What is a common mistake when finding a shorter side?

Taking square root before subtracting

A triangle has sides 99 cm and 55 cm. What is the hypotenuse (to 2 d.p.)?

10.30 cm

In which fields is Pythagoras' theorem useful?

Construction, navigation, engineering

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