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vesna_86 [32]
3 years ago
15

The perimeter of a triangle ABC is 54. The triangle has side lengths AB=3x,BC=4x,and AC=5x. Find the length of each side.

Mathematics
1 answer:
Ilya [14]3 years ago
7 0
3x+4x+5x=54
12x=54
x=4.5

Plug in the value of x into all three segments.

AB= 3*4.5= 13.5
BC= 4*4.5= 18
AC= 5*4.5= 22.5
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The solution to the quadratic equation 3x² + 8x - 10 by using the quadratic formula is x = 0.927 or -3.594

<h3>Solving quadratic equations.</h3>

Quadratic equations are algebraic expressions that are represented in the power of the second degree. They usually take the form ax² + bx + c

From the given information, we are to solve the quadratic equation:

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Using the quadratic formula:

\mathbf{=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}}

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\mathbf{= \dfrac{-(8)) \pm \sqrt{(8)^2 - 4(3 \times (-10))}}{2(3)}}

\mathbf{= \dfrac{-(8)) \pm \sqrt{64 -4 (-30)}}{6}}

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