Steve S. answered • 01/20/14

Tutoring in Precalculus, Trig, and Differential Calculus

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asked • 01/20/14please help me solve to find the missing side of a triangle. One side is 1/2x + 11 and the other side is 2x + 1. The missing side is labled as ,x, .

Would I start as a^2 + b^2 = c^2?

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Steve S. answered • 01/20/14

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Tutoring in Precalculus, Trig, and Differential Calculus

Is this a right triangle? If so, which side is the hypotenuse?

If it is a right triangle and you know which side is c, then you can use the Pythagorean Theorem.

Jason S. answered • 01/20/14

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My goal is the success of my students. Knowledge-Patience-Honesty

If you do not know it's a right triangle...

The sum of any two sides must be larger than the third.

x + (.5x + 11) > 2x + 1

x< 20

x + (2x+1) > .5x + 11

x > 4

4 < x < 20

Parviz F. answered • 01/20/14

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Mathematics professor at Community Colleges

X >0

( 2X +1 )^2 = (1/2 X+ 11) ^2 + X^2

4X^2 + 4X +1 = 1/4 X^2 +11X +121 +X^2

11/4 X^2 -7X -120 = 0

11 X^2 -28X -480 =0

11 X^2 - 88X + 60X -480 =0

11X( X - 8 ) + 60 ( X -8 ) =0

( X - 8 ) ( 11X +60 ) =0

( X -8 ) =0 X =8

Negative answer is not acceptable .

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