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18 September, 06:47

1.) What is the area of the triangle?

10.6 cm

10.6 cm

16 cm

+1
Answers (1)
  1. 18 September, 07:08
    0
    A = 55.63 cm^2

    Step-by-step explanation:

    Let a, b, c be the lengths of the sides of a triangle. Heron's formula states that:

    Area = √ (p (p-a) (p-b) (p-c))

    where p is half the perimeter, or

    (a+b+c) / 2

    So lets start by finding p:

    (10.6 + 10.6 + 16) / 2

    p = 18.6

    Now lets substitute p and the other values into our equation:

    A = √ (18.6 (18.6-10.6) (18.6-10.6) (18.6-16))

    So let's plug this in to our calculators

    A = √ (3095.04)

    A = 55.633083682284 cm^2
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