8. Trigonometry

8.01 Right triangles

8.02 Area of triangles

8.04 Cosine rule

8.06 Mixed applications of trigonometry

Year 11

8.02 Area of triangles

Interactive practice questions

Find the area of the triangle shown.

A triangle with a base measuring $9$9 cm and an altitude of $6$6 cm. The altitude is drawn as a dashed vertical line from the top vertex to a point on the base, and their intersection is marked with a small shaded square. A line with double-headed arrows is positioned below the base which indicates the length of the base.

Easy

< 1min

Find the area of the triangle with base length $10$10 m and perpendicular height $8$8 m shown below.

Easy

< 1min

Find the area of the triangle shown.

Easy

< 1min

Calculate the area of the following triangle.

Round your answer to two decimal places.

Easy

2min

Outcomes

2.2.2

determine the area of a triangle, given two sides and an included angle by using the rule area = 1/2 absinC, or given three sides by using Heron’s rule, and solve related practical problems

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