1.) What is the area of the triangle? 10.6 cm 10.6 cm 16 cm

Question

1.) What is the area of the triangle?
10.6 cm
10.6 cm
16 cm

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Alice 2 weeks 2021-10-03T15:17:12+00:00 1 Answer 0

Answers ( )

    0
    2021-10-03T15:18:34+00:00

    Answer:

    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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