find the area of triangle two sides of which are 8cm and 11cm and the perimeter is 32cm with Herons formula

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Mathematics

14 March, 03:36

find the area of triangle two sides of which are 8cm and 11cm and the perimeter is 32cm with Herons formula

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Answers (1)

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Dearey · Answer 1

8√30

Step-by-step explanation:

The length of the third side is 32 - 8 - 11 = 13. s (which is half of the perimeter) is 32 / 2 = 16 so the answer is:

√s (s-a) (s-b) (s-c) = √16 * (16 - 8) * (16 - 11) * (16 - 13) = √16 * 8 * 5 * 3 = √1920 = 8√30