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Geometry

Area of Triangles

Concept Quizzes

Area of Triangles Warmup
Triangles - Calculating Area
Area of Triangles - Sine Rule
Area of Triangles - Heron's Formula
Area of Triangles - Shoelace Formula
Area of Triangles - Problem Solving

Challenge Quizzes

Area of Triangles: Level 1 Challenges
Area of Triangles: Level 2 Challenges
Area of Triangles: Level 3 Challenges

Area of Triangles - Heron's Formula

What is the area of a triangle with side lengths $9,12,$ and $15?$

72 54 27 45

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by Brilliant Staff

What is the area of a triangle with side lengths $13, 14,$ and $15?$

50\sqrt{3}

85 80 84

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by Brilliant Staff

What is the area of a triangle with side lengths $9, 11,$ and $10?$

\sqrt{1792}

\sqrt{1804}

\sqrt{1800}

\sqrt{1796}

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by Brilliant Staff

A triangle has perimeter 14 and area $2\sqrt{14}.$ If the shortest side has length 3, find the positive difference between the lengths of other two sides. Give your answer to 3 decimal places.

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by Brilliant Staff

What is the area of a triangle with side lengths $3,5,$ and $7?$

\frac{15}{4}\sqrt{3}

\frac{9}{4}\sqrt{5}

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by Brilliant Staff

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