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3 years ago

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

Mathematics

1 answer:

VARVARA [1.3K]3 years ago

7 0

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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Given,

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