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3 years ago

10 cm 12 cm 20 cm 12 + x G 12 cm A X

Mathematics

1 answer:

AnnyKZ [126]3 years ago

5 0

Answer:

x = 12 cm and y = 24 cm

Step-by-step explanation:

Three sides of the first triangle are 10 cm, 12 cm and 12 cm.

Three sides of second triangle are 20 cm, 12+x cm and y cm.

As these two triangles are similar, it means,

$\dfrac{10}{20}=\dfrac{12}{12+x}=\dfrac{12}{y}\\\\\dfrac{1}{2}=\dfrac{12}{12+x}=\dfrac{12}{y}\\\\\dfrac{1}{2}=\dfrac{12}{y}\ \text{and}\ \dfrac{1}{2}=\dfrac{12}{12+x}\\\\y=24\ cm\ \text{and}\ 24=12+x,x=12 cm$

So, the value of x is 12 cm and that of y is 24 cm.

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<u>Solution:</u>

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$\begin{array}{l}{\rightarrow x^{3}-(3-1) x^{2}+(2-2-1) x-(-2)=0} \\ {\rightarrow x^{3}-(2) x^{2}+(-1) x-(-2)=0} \\ {\rightarrow x^{3}-2 x^{2}-x+2=0}\end{array}$

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