The Area of a Triangle (Leaving Cert Mathematics): 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, what do capital letters represent?

Angles at each vertex

In a triangle, which side is opposite to angle AA?

Side aa

What is the trigonometric area formula for a triangle?

12absin⁡C\frac{1}{2}ab \sin C

When using Area=12absin⁡C\text{Area} = \frac{1}{2}ab \sin C, where must angle CC be located?

Between sides aa and bb

Find the area of a triangle with sides 7 and 8, and an included angle of 46°.

20.1 square units

If sin⁡θ=0.7\sin \theta = 0.7, find the area with sides 18 cm and 22 cm where θ\theta is included.

139 cm²

A triangle has area 40 cm² and sides 10 cm and 14 cm. Find the included angle.

35°

What calculator mode must be used for Leaving Cert trigonometry questions?

Degree mode

To find angle CC from area and sides aa and bb, which formula should you use?

sin⁡C=2×Areaab\sin C = \frac{2 \times \text{Area}}{ab}

What is the most common error when applying the trigonometric area formula?

Not checking angle is between sides

What must be included in your final answer for exam questions?

Units

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