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

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Right-Angled Triangles
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What is a right-angled triangle?

A triangle with one angle exactly 9090 degrees.

What is the hypotenuse of a right triangle?

The longest side opposite the right angle.

Define the adjacent side in a right triangle.

The side next to the angle of interest, not hypotenuse.

What is the opposite side in a right triangle?

The side opposite the angle of interest.

State Pythagoras' Theorem.

c2=a2+b2c^2 = a^2 + b^2, where cc is hypotenuse.

What does sine relate in a right triangle?

sinθ=oppositehypotenuse\sin \theta = \frac{\text{opposite}}{\text{hypotenuse}}.

Define cosine in terms of triangle sides.

cosθ=adjacenthypotenuse\cos \theta = \frac{\text{adjacent}}{\text{hypotenuse}}.

What is tangent in a right triangle?

tanθ=oppositeadjacent\tan \theta = \frac{\text{opposite}}{\text{adjacent}}.

How to calculate area of a right triangle?

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

What is the formula for the area of a rectangle?

Area = length×width\text{length} \times \text{width}

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