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 = 121 c = 302

The area of triangle formed by given side lengths is 13724.27.

Step-by-step explanation:

A triangle can be formed If the sum of the other two sides (except largest side) is greater than the largest side that is a+b>c.

Here, given side lengths:

a = 240 

b = 121

c = 302

Here, largest side is c = 302

so taking sum of other two sides,

a+b = 240+121 = 361> 302

Hence, triangle can be formed with a, b and c as given lengths.

Calculating area using Heron's formula,

where s is the semi perimeter

Formula to find semi perimeter is

So, first we find the semi perimeter by using given sides,

Now put the value of s,a,b and c in the Heron's formula,

Therefore, the area of triangle is approx. 13724.27.

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step-by-step explanation: