What is the hypotenuse ?

The hypotenuse is the longest side in a right-angled triangle . It is located opposite the right angle .

True or False? Pythagoras' theorem applies to equilateral triangles.

False. Pythagoras' theorem can only be used on right-angled triangles . An equilateral triangle contains no right angles. However an isosceles or scalene triangle may also be a right-angled triangle.

IGCSEMathsCambridge (CIE)International MathsCoreFlashcardsPythagoras & TrigonometryPythagoras

Pythagoras (Cambridge (CIE) IGCSE International Maths: Core): Flashcards

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FrontPythagoras Theorem
What is the hypotenuse?
FrontPythagoras Theorem
State the equation, in terms of $a$ , $b$ , and $c$ , for Pythagoras' theorem, where $c$ is the length of the hypotenuse.
BackPythagoras Theorem
The equation for Pythagoras' theorem is $a^{2} + b^{2} = c^{2}$
Where:
$a$ and $b$ are the lengths of the two shorter sides
$c$ is the length of the hypotenuse

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Cards in this collection (5)

What is the hypotenuse?
The hypotenuse is the longest side in a right-angled triangle.
It is located opposite the right angle.
State the equation, in terms of $a$ , $b$ , and $c$ , for Pythagoras' theorem, where $c$ is the length of the hypotenuse.
The equation for Pythagoras' theorem is $a^{2} + b^{2} = c^{2}$
Where:
- $a$ and $b$ are the lengths of the two shorter sides
- $c$ is the length of the hypotenuse
True or False?
Pythagoras' theorem applies to equilateral triangles.
False.
Pythagoras' theorem can only be used on right-angled triangles.
An equilateral triangle contains no right angles. However an isosceles or scalene triangle may also be a right-angled triangle.
True or False?
To find the length of the hypotenuse, you add inside the square root.
True.
To find the length of the hypotenuse, you add inside the square root using $c = \sqrt{a^{2} + b^{2}}$
What is the equation to find the length of one of the shorter sides in a right-angled triangle?
To find the length of one of the shorter sides in a right-angled triangle, use the equation $a = \sqrt{c^{2} - b^{2}}$ or $b = \sqrt{c^{2} - a^{2}}$ .

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