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ArbitrLikvidat [17]
2 years ago
6

Need help with this question.Find the value of x

Mathematics
1 answer:
Nataly [62]2 years ago
5 0

Answer:

x=14

Step-by-step explanation:

According to Thales' theorem, the triangle inside 6,7,8 is similar to the triangle 12,x,16:

\frac{12}{6}= \frac{16}{8} =\frac{x}{7} =2

x=7(2)=14

Hope this helps

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Citrus2011 [14]

We know that, In a Right Angled Triangle :

✿ (Hypotenuse)² = (First Leg)² + (Second Leg)²

From the Diagram :

✿ Hypotenuse = x

✿ First Leg \bf{= 2\sqrt{3}}

✿ Second Leg \bf{= \sqrt{6}}

\bf{\implies x^2 = (2\sqrt{3})^2 + (\sqrt{6})^2}

\bf{\implies x^2 = 12 + 6}

\bf{\implies x^2 = 18}

\bf{\implies x = 3\sqrt{2}}

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4 years ago
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Step-by-step explanation:

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