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Heron's Formula Practice Questions

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Updated on Oct 2, 2011

Read the following study guide for a concept review:

Heron's Formula Study Guide

Practice Questions

Find the area of each triangle

Heron's Formula
Heron's Formula

 

Find the area of the triangle with edges of the three given lengths.

7. 6, 10, 12
8. 9, 9, 10
9. 4, 4, 4
10. 10, 14, 20
11. 6, 8, 9
12. 12, 15, 17
13. 30, 40, 55
14. 10, 16, 19
15. 33, 44, 55
16. 4, 12, 15
17. 2, 14, 15
18. 9.6, 12.2, 15.6
19. 31.8, 39.4, 40.2
20. 17.8, 18.2, 18.6

 

Find the area of the figure.

Heron's Formula

Answers

1. area = √24 ≈ 4.899 sq.in.
2. area = √360 ≈ 18.974 sq.ft.
3. area = √720 ≈ 26.833 sq.mi.
4. area ≈ 2.905 sq.in.
5. area ≈ 8.182 sq.ft.
6. area ≈ 18.62 sq.mi.
7. area = √896 ≈ 29.933
8. area = √1400 ≈ 37.417
9. area = √48 ≈ 6.928
10. area = √4,224 ≈ 64.992
11. area ≈ 23.525
12. area = √7,700 ≈ 87.750
13. area ≈ 585.469
14. area ≈ 79.990
15. area = 726
16. area ≈ 17.662
17. area ≈ 12.527
18. area ≈ 58.557
19. area ≈ 579.944
20. area ≈ 143.29
21. area ≈ 30 sq. in.
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