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 = 133
c = 174

Answer 1

6582.82

No triangle is formed.

11,317.51

6568.72

Answer 2

are you familiar with the Triangular Side Law thingy?

a + b > c

a + c > b

b + c > a

Answer 3

somewhat.

Answer 4

good... so is 240 + 133 > 174?

Answer 5

yes

Answer 6

is 174 + 133 > 240?

Answer 7

yes

Answer 8

and is 174 + 240 > 133?

Answer 9

yes

Answer 10

so now use heron's formula

Answer 11

hhow?

Answer 12

\[\Large A = \sqrt{\frac{(a+b + c)(-a + b + c)(a-b + c)(a+b-c)}{16}}\]
this is heron's formula

you have

a = 240
b = 133
c = 174

so substitute

do you need more help?

Answer 13

let me see if i can do it.

Answer 14

sure

Answer 15

http://www.wolframalpha.com/input/?i=%E2%88%9A%28240%2B133%2B174%29%28-240%2B133%2B174%29%28240-133%2B174%29%28240%2B133-174%29%2F16

Answer 16

@lgbasallote

Answer 17

http://www.wolframalpha.com/input/?i=sqrt%7B%5B%28240%2B133%2B174%29%28-240%2B133%2B174%29%28240-133%2B174%29%28240%2B133-174%29%5D%2F%2816%29%7D

Answer 18

thank you!! do you mind helping me with one more problem?

Answer 19

@lgbasallote