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Heron's Formula Worksheet

This worksheet focuses on applying Heron's Formula to calculate the area of triangles given the lengths of their three sides, suitable for Grade 11 math students.

Grade 11 Math GeometryHerons Formula
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Includes

3 Short AnswerFill in the BlanksTrue / FalseMultiple Choice

Standards

CCSS.MATH.CONTENT.HSG.SRT.D.9

Topics

Heron's FormulaArea of TriangleGeometryGrade 11 Math
8 sections · Free to use · Printable
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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 given triangles. Show all your work.

1. Find the area of a triangle with sides of length 7 cm, 8 cm, and 9 cm.

2. Heron's Formula states that the area of a triangle with sides a, b, and c is given by A = √s(s-a)(s-b)(s-c), where s is the   of the triangle.

3. For a triangle with sides 5 units, 12 units, and 13 units, the semi-perimeter (s) would be  .

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

T

True

F

False

5. The semi-perimeter 's' is half the perimeter of the triangle.

T

True

F

False

6. A triangular garden has sides measuring 10 meters, 17 meters, and 21 meters. Calculate the area of the garden.

7. What is the area of a triangle with sides 6, 8, and 10 units?

a

20 square units

b

24 square units

c

30 square units

d

48 square units

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.

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