Right-Angled Triangles (Edexcel 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?

9090^\circ

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

Hypotenuse

What is Pythagoras' Theorem for a right-angled triangle?

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

If a right-angled triangle has sides a=3a = 3 and b=4b = 4, what is the hypotenuse cc?

55

What is the formula for sine of an angle θ\theta in a right-angled triangle?

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

What is the formula for cosine of an angle θ\theta in a right-angled triangle?

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

What is the formula for tangent of an angle θ\theta in a right-angled triangle?

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

Which sides are used for base and height when calculating the area of a right-angled triangle?

The two sides forming the right angle

What is the formula for the area of a right-angled triangle?

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

Find the area of a right-angled triangle with shorter sides of 66 units and 88 units.

2424 square units

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