Right Angled Triangles (Leaving Cert Mathematics): Quizzes

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Pythagoras' Theorem
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Around which year was Pythagoras' Theorem invented?

600 BC

What is the hypotenuse in a right-angled triangle?

The longest side

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

Opposite the right angle

What is Pythagoras' Theorem formula?

a2+b2=c2a^2 + b^2 = c^2

Which formula finds the hypotenuse cc?

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

Which formula finds shorter side aa?

a=c2−b2a = \sqrt{c^2 - b^2}

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

13 cm

A triangle has hypotenuse 10 cm and side 6 cm. Find the other side.

8 cm

Why must the hypotenuse be the longest side?

It's opposite the right angle

A 5m ladder is 1.5m from a house. How high does it reach (nearest 0.01m)?

4.77 m

What is the horizontal distance between points (4,5) and (-2,1)?

6 units

What is the distance between (4,5) and (-2,1) to 2 decimal places?

7.21 units

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