Heron's Formula Practice
Practice applying Heron's Formula to calculate the area of triangles given their side lengths.
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Heron's Formula Practice
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Read each question carefully and use Heron's Formula to find the area of the triangles. Show all your work.
Heron's Formula for the area of a triangle with side lengths a, b, and c is given by:
Area = √[s(s - a)(s - b)(s - c)]
where s is the semi-perimeter: s = (a + b + c) / 2
1. Find the area of a triangle with side lengths 7 cm, 8 cm, and 9 cm.
2. A triangular garden has sides measuring 10 meters, 12 meters, and 18 meters. Calculate the area of the garden.
3. If the semi-perimeter of a triangle is 15 units and its sides are 8, 10, and 12 units, then the area of the triangle is approximately square units.
4. Heron's Formula can only be used for right-angled triangles.
True
False
5. An equilateral triangle has a perimeter of 24 cm. Use Heron's Formula to find its area.