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Heron of Alexandria (around AD 75) established a formula for finding the area of a triangle using its sides only. The area of AABC is given as Area = √√s(s-a)(s—b)(s — c) where 2s = a+b+c. C Verify that the above formula is correct for each of the following cases: (a) a = 6 cm, b = 8 cm and c = 10 cm (b) a = 8 cm, b = 9 cm and c = 10 cm (c) a = 5 cm, b = 3 cm and c = 7 cm b a i A C B

Heron of Alexandria (around AD 75) established a formula for finding the area of a triangle using its sides only. The area of AABC is given as Area = √√s(s-a)(s—b)(s — c) where 2s = a+b+c. C Verify that the above formula is correct for each of the following cases: (a) a = 6 cm, b = 8 cm and c = 10 cm (b) a = 8 cm, b = 9 cm and c = 10 cm (c) a = 5 cm, b = 3 cm and c = 7 cm b a i A C B

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.CT: Test
Problem 16CT
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Heron of Alexandria (around AD 75) established a formula for finding the area of a triangle using its sides only. The area of AABC is given as Area = √√s(s-a)(s—b)(sc) where 2s = a + b + c. C Verify that the above formula is correct for each of the following cases: (a) a = 6 cm, b = 8 cm and c = 10 cm (b) a = 8 cm, b = 9 cm and c = 10 cm (c) a = 5 cm, b = 3 cm and c = 7 cm a A E с B
Transcribed Image Text:Heron of Alexandria (around AD 75) established a formula for finding the area of a triangle using its sides only. The area of AABC is given as Area = √√s(s-a)(s—b)(sc) where 2s = a + b + c. C Verify that the above formula is correct for each of the following cases: (a) a = 6 cm, b = 8 cm and c = 10 cm (b) a = 8 cm, b = 9 cm and c = 10 cm (c) a = 5 cm, b = 3 cm and c = 7 cm a A E с B
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