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Heron's Formula Worksheet - Grade 10

Calculate the area of triangles using Heron's Formula with this comprehensive Grade 10 math worksheet.

Grade 10 Math GeometryHerons Formula
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Includes

3 Short AnswerFill in the BlanksTrue / False

Standards

CCSS.MATH.CONTENT.HSG.SRT.D.9
7 sections · Free to use · Printable
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Heron's Formula Worksheet

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Read each question carefully and calculate the area of the triangles using Heron's Formula. Show all your work.

1. Find the area of a triangle with side lengths 7 cm, 8 cm, and 9 cm.

7 cm8 cm9 cm

2. Heron's Formula states that the area of a triangle with side lengths a, b, and c is given by A = \( \sqrt{s(s-a)(s-b)(s-c)} \), where s is the  .

3. The semi-perimeter 's' is calculated as  .

4. A triangular garden has sides measuring 10 meters, 12 meters, and 18 meters. Calculate the area of the garden.

10 m12 m18 m

5. Heron's Formula can only be used for right-angled triangles.

T

True

F

False

6. An isosceles triangle has two sides of length 13 cm and a base of 10 cm. Use Heron's Formula to find its area.

13 cm13 cm10 cm