What is the value of x in the triangle?

Work Shown:

We have a right triangle with legs a = 5 and b = 12. The hypotenuse is c = x which is unknown for now.

Use the pythagorean theorem to find x.

a^2 + b^2 = c^2

5^2 + 12^2 = x^2

25 + 144 = x^2

169 = x^2

x^2 = 169

x = sqrt(169)   apply the square root to both sides

x = 13

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints

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