Heron's Formula Practice Worksheet
Grade 12 math worksheet on Heron's Formula for calculating the area of a triangle given its 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.
1. Find the area of a triangle with side lengths a = 7 cm, b = 8 cm, and c = 9 cm.
2. Calculate the area of a triangle with sides measuring 10 inches, 12 inches, and 14 inches.
3. Heron's Formula is used to find the of a triangle when only the three lengths are known.
4. The semi-perimeter (s) of a triangle is calculated by the three side lengths and then by two.
5. Heron's Formula can be used for any type of triangle, including right-angled and obtuse triangles.
True
False
6. If the sum of two side lengths of a triangle is less than the third side length, Heron's Formula will still yield a valid area.
True
False
7. A triangular plot of land has sides measuring 25 meters, 35 meters, and 40 meters. Find the area of the plot.
8. An isosceles triangle has two sides of length 13 cm and a base of 10 cm. Use Heron's Formula to find its area.