Right-Angled Triangles (AQA A-Level Mathematics): Flashcards

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Right-Angled Triangles
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Measure of the right angle

Exactly 90 degrees

Longest side in a right-angled triangle

Hypotenuse

Pythagoras' Theorem formula

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

Formula for sinθ\sin \theta in right-angled triangle

OppositeHypotenuse\frac{\text{Opposite}}{\text{Hypotenuse}}

Formula for cosθ\cos \theta in right-angled triangle

AdjacentHypotenuse\frac{\text{Adjacent}}{\text{Hypotenuse}}

Formula for tanθ\tan \theta in right-angled triangle

OppositeAdjacent\frac{\text{Opposite}}{\text{Adjacent}}

Area formula for right-angled triangle

12×base×height\frac{1}{2} \times \text{base} \times \text{height}

Which sides form the base & height for area?

Two sides forming the right angle (not hypotenuse)

Value of sin30\sin 30^\circ

12\frac{1}{2}

Value of cos30\cos 30^\circ

32\frac{\sqrt{3}}{2}

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