Question

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

Answer 1

1610.289units²

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

Answer 2

1549.5

Explanation:

Hello There!

Heron's area formula is

`A=((a)(b)sin(c))/(2)`

all we have to do is plug in the values

so

`A=(77*41sin79)/(2) \\77*41=3157\\3157sin79=3098.997018\\(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