Pythagoras (OCR GCSE Maths): Quizzes

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Pythagoras
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In approximately which year was Pythagoras' Theorem invented?

600 BC

What type of triangle does Pythagoras' Theorem apply to?

Right-angled triangles

What is the hypotenuse of a right-angled triangle?

The longest side

Where is the hypotenuse located in a right-angled triangle?

Opposite the right angle

In a2+b2=c2a^2 + b^2 = c^2, what does cc represent?

The hypotenuse

Which formula finds the hypotenuse cc from shorter sides aa and bb?

c=a2+b2c = \sqrt{a^2 + b^2}

Which formula finds side aa from hypotenuse cc and side bb?

a=c2b2a = \sqrt{c^2 - b^2}

A right-angled triangle has sides 5 cm and 12 cm. What is the hypotenuse?

13 cm

A triangle has hypotenuse 10 cm and side 6 cm. What is the other side?

8 cm

A 5 m ladder is 1.5 m from a house. Which formula finds the height reached?

a=521.52a = \sqrt{5^2 - 1.5^2}

How can you find the distance between two coordinate points?

Use Pythagoras with horizontal and vertical distances

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