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Lisa [10]
3 years ago
7

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

gle. a = 240 b = 121 c = 263
Mathematics
1 answer:
Nataly [62]3 years ago
4 0
Look up "Heron's Formula."  First, calculate S; S = 312 here.
Next, calculate sqrt( S(S-240)(S-121)(S-263) ). 

The result is 14499.68, or approx. 14500 square units.  This represents the area of the triangle with given side lengths.

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a) We kindly invite to check the image attached below to see a detailed graph of the <em>piecewise</em> function.

b) The <em>piecewise</em> function is continuous.

<h3>How to understand a piecewise function</h3>

A <em>piecewise</em> function is a <em>conditional</em> combination of two or more functions, whose expression depends on which value of the domain is the function evaluated at.

a) The <em>piecewise</em> function described in the question is plotted on a graphing tool (i.e. <em>Desmos</em>), whose result is presented in the image attached below.

b) A function is <em>continuous</em> if and only if there is one value from range for every value of domain. The <em>piecewise</em> function is continuous as <em>linear</em> functions are continuous and the two functions of the <em>conditional</em> combination have the same value for x = 30.

To learn more on piecewise functions: brainly.com/question/12561612

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