Calculate the size of the largest angle in the triangle. Give your answer to an appropiate degree of accuracy.
Sides of the triangle:
AB-15cm
AC-7cm
BC-11cm
Answers
Answered by
8
Given : Sides of the triangle: AB-15cm AC-7cm BC-11cm
To find : largest angle in the triangle
Solution:
Angle opposite to largest side is largest
AB = 15 cm
AC = 7 cm
BC = 11 cm
AB is largest
Hence angle between AC & BC would be largest
Applying Cosine formula
AB² = AC² + BC² - 2AC * BC Cos∠C
=> 15² = 7² + 11² - 2*7*11Cos∠C
=> 225 = 49 + 121 - 154Cos∠C
=> 55 = - 154Cos∠C
=> Cos∠C = -55/154
=> ∠C = 110.92
largest angle in the triangle = 110.92
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2
Answer:
111
Step-by-step explanation:
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