Find the area of a triangle whose sides measure 13 cm., 14 cm and 15 cm . Options: A . &nbsp`84 m^2` B . &nbsp`85m^2` C . &nbsp`87 m^2` D . &nbsp`89 m^2`

Find the area of a tri

Question

Find the area of a triangle whose sides measure 13 cm., 14 cm and 15 cm .

Options:

A . `84 m^2`

B . `85m^2`

C . `87 m^2`

D . `89 m^2`

Answer: Option A

Let a = 13, b = 14 and c = 15.

Then `s = `1/2 (a + b + c)` = 21.

`:.` (s - a) = 8, (s - b) = 7 and (s - c) = 6.

`:..` Area = `sqrt(s(s - a) (s - b) (s - c))`

= `sqrt(21 xx 8 xx 7 xx 6)` = ` 84 m^2`

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