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olya-2409 [2.1K]
3 years ago
5

Find the hypotenuse of each isosceles right triangle when the legs are of the given measure.

Mathematics
1 answer:
Len [333]3 years ago
6 0

we know the triangle is an isosceles, so it has twin sides, and then the hypotenuse, since it's a right-triangle, we can just use the pythagorean theorem for that.


\bf \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{3\sqrt{2}}\\ b=\stackrel{opposite}{3\sqrt{2}}\\ \end{cases} \\\\\\ c=\sqrt{(3\sqrt{2})^2+(3\sqrt{2})^2}\implies c=\sqrt{(3^2\cdot 2)+(3^2\cdot 2)}\implies c=\sqrt{18+18} \\\\\\ c=\sqrt{36}\implies c=6

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Answer:

a = 17

Step-by-step explanation:

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7 0
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Answer:

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Step-by-step explanation:

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4 0
2 years ago
A thermometer shows a temperature of Negative 20 and three-fourths degrees. A chemist recorded this temperature in her notebook
fredd [130]

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Owen's bedroom. has a perimeter of 46 feet. If the lengh of the bedroom is 11 feet. What is the width of the bedroom?
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7 0
3 years ago
I need the equation and steps please!
serg [7]
Let d is the number of days of rental car
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To find out after how many days, they both cost the same

50*d + 75 = 35*d + 105
50d + 35d = 105 - 75
15d = 30
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Answer: after 2 days, they both cost the same amount of money

Proof:

50*d + 75 = 50*2 + 75 = 100 + 75 = 175
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Hope that helps

3 0
3 years ago
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