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The perimeter of an isosceles triangle is $\sqrt{50}$ feet. The lengths of the sides are in the ratio $3 : 3 : 4$ . Find the length of each side of the triangle.

$\frac{3}{2} \sqrt{2} i n . , \frac{3}{2} \sqrt{2} i n . ,2 \sqrt{2} i n$

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Chapter 3

REAL NUMBERS AND RADICALS

Section 7

Rationalizing a Denominator

Whole which of Numbers

Fractions and Mixed Numbers

Decimals

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So we have a nice sauce, Elise triangle. And we know that the Ling synthesized and Horatio are 33 and four. So they're a ratio of three and three and four, not 33 and four. We need to find a way. We have the ratio. So that means we have to put the variable X with them because you can either be smaller, a larger, but we know their rights to go. So we are the ex. The exit for it. We we know that the perimeter iss we're in a 50 so we know that three plus three ex post for X because perimeter you just add all the sides will turn out to the square to 50. So because they have the same basic vics were all three plus three plus four. Don't give us tuning. Hey, And if you divide up sides by 10 we'll get X equals a spirit of 50 over sin. So if you think about the factors of 51 50 see you in 25 and five in 10. No, see a perfect square here, 25. So we're going to use that period of right before our eyes, so we're gonna have roots when he follow times route to all opportunity. It's very 25 thus far and a bit about talking bottom by five. We get warning over soon, so X equals a spirit of two over too. So we found it. We family everything would be most proud by. How would we still need to put that in so that we can find the actual links so three times route. So you over too. I'll just give us three right over to, So that could be this one. We can also find this one. So three cylons right over to, and I also do lose three routes. Clear over, too. And then we need to find this side here. So fuller times route to over two. So become four. Route to over two. If you do not talk bottom cartoon, that becomes one. That becomes, too. So we have to. Some screwed up, too, and nothing it to include unit. So because there's all regular links, it's just feet, mate and

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