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LUCKY_DIMON [66]
3 years ago
12

What is the area of the triangle?

Mathematics
1 answer:
Drupady [299]3 years ago
6 0
A=b*h \\\\ 8\frac{1}{3}ft\to \frac{25}{3}ft \\\\ 14\frac{1}{4}ft\to\frac{57}{4}ft \\\\\\\ A=\frac{25}{3}ft*\frac{57}{4}ft  \\\\ A= \frac{25}{1}ft*\frac{19}{4}ft \\\\ A=\frac{475}{4}ft^2 \\\\ \boxed{A=118\frac{3}{4}ft \to \ variant\ D}
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Answer:

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Step-by-step explanation:

We can create a triangle from the information given.

<u>We can call the starting point (0,0) in the coordinate system.</u>

  • <u>10 mi east</u> - 10 miles to the right. then,
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<em><u>See the attached picture. The direct distance is labeled as x.</u></em>


Now we need to find x using pythagorean theorem.

Pythagorean Theorem = leg²+leg²=hypotenuse²

Solving for x:

10^2+5^2=x^2\\100+25=x^2\\125=x^2\\x=\sqrt{125}\\x=11.18


<em>Rounding to nearest tenth, we have </em><em>11.2 miles</em>

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