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(sa)(s—b)(sc) where 2s = a +b+c. C Verify that the above formula is correct for each of the following cases: (c) a = 5 cm, b = 3 cm and c = 7 cm Can you find out the proof for this formula? b a 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(sa)(sb)(sc) where 2s = a + b + c.
C
Verify that the above formula is correct for each of the following cases:
(c) a = 5 cm, b = 3 cm and c = 7 cm
Can you find out the proof for this formula?
b
a
A
C
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(sa)(sb)(sc) where 2s = a + b + c. C Verify that the above formula is correct for each of the following cases: (c) a = 5 cm, b = 3 cm and c = 7 cm Can you find out the proof for this formula? b a A C B
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