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3 years ago

Find the area with Heron's formula pls help !

Mathematics

2 answers:

KatRina [158]3 years ago

8 0

Answer:

3320in²

Step-by-step explanation:

heron formula = √s(s-a)(s-b)(s-c)

when s = (a+b+c)/2

s = (16+35+25)/2 = 76/2 = 38

heron formula = √s(s-a)(s-b)(s-c) = √78(78-16)(78-35)(78-25) = √78(62)(43)(53) = √11021244 = 3319.82589905≈3319.8in²(nearest tenth)

Mandarinka [93]3 years ago

5 0

Answer: Area = 180.6 m²

Step-by-step explanation:

Heron's formula for determining the area of a rectangle is expressed as

Area = √S(S - a)(S - b)(S - c)

Where

a,b and c represents the length of each side of the triangle

S represents perimeter/2

Perimeter = 16 + 35 + 25 = 76

S = 76/2 = 38

Applying Heron's formula, it becomes

Area = √38(38 - 16)(38 - 25)(38 - 35)

= √38 × 22 × 13 × 3

= √32604

= 180.6 m² rounded to the nearest tenth.

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