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3 years ago

Find the missing length indicated I WILL GIVE BRAINLIEST TO CORRECT ANSWER

Mathematics

1 answer:

prisoha [69]3 years ago

6 0

Answer:

The length of the missing side is: x = 15

Thus, option A) is the correct option.

Step-by-step explanation:

Let 'x' be the missing sides.

From the given triangle, it is clear that the segment cuts the sides into proportional ratios such 9 : 12 and x : 20 respectively.

Therefore,

9 : 12 = x : 20

9/12 = x/20

cross multiplication

12 × x = 20 × 9

12x = 180

divide both sides by 12

12x/12 = 180/12

x = 15

Therefore, the length of the missing side is: x = 15

Thus, option A) is the correct option.

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We can find the roots using the quadratic formula:

$\begin{gathered} W=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ W=\frac{-3\pm\sqrt[]{3^2-4\cdot1\cdot(-180)}}{2\cdot1} \\ W=\frac{-3\pm\sqrt[]{9+720}}{2} \\ W=\frac{-3\pm\sqrt[]{729}}{2} \\ W=\frac{-3\pm27}{2} \\ W_1=\frac{-3-27}{2}=-\frac{30}{2}=-15 \\ W_2=\frac{-3+27}{2}=\frac{24}{2}=12 \end{gathered}$

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