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3 years ago

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PLEASE HELP!! The first person to answer correctly will get a great amount of points, and, brainlyest. I looked at it but don't

understand, if I can get an an answer with an explanation that would be great. I'm running out of time.

1 answer:

jarptica [38.1K]3 years ago

6 0

Answer:

That is a bad link. Don't even go to those links :)

Step-by-step explanation:

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If the length of each side of an equilateral triangle were increased by 50 percent, what would be the percent increase in the ar

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Answer:

<u><em>The area increase by 225%</em></u>

<em><u>Step-by-step explanation: </u></em>

<em><u>attachment of a triangle</u></em>

<em><u>The area of a triangle equilateral is calculated with the next formula:</u></em>

<em><u>A= $\frac{a*h}{2}$ </u></em>

<em><u> $h^{2} +(\frac{a}{2})^{2}$ = $a^{2}$ </u></em>

<em><u> $h^{2} = a^{2} - \frac{a^{2} }{4}$ = $\frac{a^{2} }{4}$ *3</u></em>

<em><u>h= $\sqrt{\frac{a^{2}*3 }{4} }$ </u></em>

<em><u>h= $\frac{\sqrt{3}*a }{2}$ </u></em>

<em><u>replacing in the A equation:</u></em>

<em><u>A= $\frac{a*\sqrt{3}*a }{2*2}$ </u></em>

<em><u>A= $\frac{\sqrt{3}*a^{2} }{4}$ </u></em>

<em><u>Now each side increse by 50% ⇒ a=1.5a</u></em>

<em><u>A= $\frac{\sqrt{3}*(1.5a)^{2} }{4}$ </u></em>

<em><u>A= $\frac{\sqrt{3}*a^{2}* 2.25 }{4}$ </u></em>

<em><u>A=2.25 * $\frac{\sqrt{3}*a^{2} }{4}$ </u></em>

<em><u>It means that the area incrase by 225%</u></em>

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