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

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Right-Angled Triangles
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What is the measure of the right angle in a right-angled triangle?

90°90°

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

The hypotenuse

What is Pythagoras' Theorem formula?

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

A right-angled triangle has sides a=3a = 3 and b=4b = 4. What is the hypotenuse cc?

c=5c = 5

What is the formula for sinθ\sin \theta in a right-angled triangle?

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

What is the formula for cosθ\cos \theta in a right-angled triangle?

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

What is the formula for tanθ\tan \theta in a right-angled triangle?

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

If hypotenuse is 1010 units and θ=30°\theta = 30°, what is the opposite side using sin30°=12\sin 30° = \frac{1}{2}?

55 units

If hypotenuse is 1010 units and θ=30°\theta = 30°, what is adjacent using cos30°=32\cos 30° = \frac{\sqrt{3}}{2}?

535\sqrt{3} units

What is the area of a right-angled triangle with sides 66 and 88 units forming the right angle?

2424 square units

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