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1 of 8 0-day streak

Area of a triangle from three sides

Question 1 of 8

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A triangular metal plate has three known edge lengths, labelled \(a\), \(b\) and \(c\)

Side \(a\) is 84 mm, side \(b\) is 75 mm, and side \(c\) is 51 mm. These are all three boundary sides. No perpendicular height is given

(a)1 mark

Calculate the total boundary length

Format: Exact value
(b)1 mark

Calculate half the perimeter, denoted by \(s\)

Format: Exact value
(c)1 mark

Calculate the triangle's area exactly from its three sides

Format: Exact value