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

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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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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