Geometry II (AQA GCSE Further Maths): Quizzes

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The area of a triangle
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11 questions from this quiz

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In triangle notation, which side is opposite to vertex AA?

Side aa

What do you need to use the formula area =12bcsin⁡A= \frac{1}{2}bc \sin A?

Two sides & angle between them

Which is a correct form of the trigonometric area formula?

12absin⁡C\frac{1}{2}ab \sin C

How many equivalent forms does the trigonometric area formula have?

Three

What is crucial about the angle used in area =12bcsin⁡A= \frac{1}{2}bc \sin A?

It's between the two sides chosen

Find the area of a triangle with sides 6 cm, 8 cm and included angle 30°30°.

1212 cm²

What is the central angle for one triangle in a regular pentagon?

72°72°

A regular pentagon (radius 8 cm) is split into 5 triangles. Find one triangle's area (1 d.p.).

30.430.4 cm²

If area =24= 24 cm², angle =40°= 40°, equal sides =x= x cm, what equation solves for xx?

24=12x2sin⁡40°24 = \frac{1}{2}x^2 \sin 40°

What mode should your calculator be in for the trigonometric area formula?

Degree mode

What units should you use for triangle area in your final answer?

cm2\text{cm}^2 or m2\text{m}^2

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Coordinate geometry

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Geometry II

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Coordinate geometry

Geometry I

Geometry II

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Coordinate geometry

Geometry I

Geometry II

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