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2 years ago

Use Heron's Area Formula to find the area of the triangle. (Round your answer to two decimal places.) A = 79°, b = 77, c = 43

Mathematics

2 answers:

BlackZzzverrR [31]2 years ago

8 0

Answer:

1549.5

Step-by-step explanation:

Hello There!

Heron's area formula is

$A=\frac{(a)(b)sin(c)}{2}$

all we have to do is plug in the values

$A=\frac{77*41sin79}{2} \\77*41=3157\\3157sin79=3098.997018\\\frac{3098.997018}{2} =1549.498509$

so the area of the triangle is 1549.498509

our final step is to round to the nearest hundredth

the answer would be 1549.5

k0ka [10]2 years ago

4 0

Answer:

1610.289units²

Step-by-step explanation:

a=79

b=77

c=43

s=(79+77+43)/2=99.5

by using heron's formula

area of triangle=√{s(s-a)(s-b)(s-c)}

=√{99.5(99.5-79)(99.5-77)(99.5-43)} =1610.289units²

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The Garden Task

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If the perimeter of the garden is (14x - 32) ft and has a side length of (x + 2) ft:

the perimeter = 24 ft
the area = 36 sq. ft
if the perimeter of the garden is doubled, the perimeter of the new garden = 48 ft
if the area of the garden is doubled, the area of the new garden = 72 sq. ft

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Perimeter of a square = 4(side length)
Area of a square = $(side $ length)^2$

Given:

Perimeter of square (P) = $(14x - 32) $ ft$

Side length (s) = $(x + 2) $ ft$

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Plug in the values

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Solve for x

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Find how much fencing would be needed (Perimeter of the fence):

Perimeter of the fence = $(14x - 32) $ ft$

Plug in the value of x

Perimeter of the fence = $14(4) - 32 = 24 $ ft$

Find the area of the garden:

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Plug in the value of x

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Find the perimeter if the garden size is doubled:

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Find the area if the garden size is doubled:

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the area = 36 sq. ft
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