The Theorem of Pythagoras (Leaving Cert Mathematics): Quizzes

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The Theorem of Pythagoras
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What defines a right-angled triangle?

Has one angle of exactly 90 degrees

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

Opposite the right angle

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

The hypotenuse

Who is the Pythagorean theorem named after?

A Greek mathematician called Pythagoras

What is the Pythagorean formula where cc is the hypotenuse?

c2=a2+b2c^2 = a^2 + b^2

When does the Pythagorean theorem apply?

Only to right-angled triangles

What does the theorem state about the square on the hypotenuse?

Equals sum of squares on other sides

In a triangle with sides 5 cm and 8 cm, what is the hypotenuse (to 1 d.p.)?

9.4 cm

What must you do at the final step when finding a side length?

Take the square root

What should you always identify first when solving these problems?

The hypotenuse

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