Question

Determine whether a triangle can be formed with the given side lengths. If so, use Heron’s formula to find the area of the triangle.

a = 240
b = 122
c = 177

10,414.95

5897.53

5883.43

No triangle is formed.

Answer 1

you get a triangle for sure

Answer 2

ok could you help me find the area?

Answer 3

\[A=\sqrt{s(s-a)(s-b)(s-c)}\]

Answer 4

\[s=\frac{a+b+c}{2}\]

Answer 5

\[\frac{240+122+177}{2}=\frac{539}{2}=269.5\]

Answer 6

\[A=\sqrt{269.5(269.5-240)(269.5-122)(269.5-177)}\]

Answer 7

then a calculator

Answer 8

http://www.wolframalpha.com/input/?i= \sqrt{269.5%28269.5-240%29%28269.5-122%29%28269.5-177%29}

Answer 9

10,414.95??

Answer 10

yes

Answer 11

thank you!

Answer 12

yw