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3 years ago

Find the third side in simplest radical form

Mathematics

1 answer:

klasskru [66]3 years ago

3 0

Answer:

$2 \sqrt{71} \: units$

Step-by-step explanation:

Given is a right angled triangle in which third side is the hypotenuse.

Therefore, by Pythagoras theorem:

$thid \: side = \sqrt{ {15}^{2} + ( \sqrt{59} )^{2} } \\ \\ = \sqrt{225 + 59} \\ \\ = \sqrt{284} \\ \\ = \sqrt{ {2}^{2} \times 71 } \\ \\ = 2 \sqrt{71} \: units$

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kompoz [17]

Answer:

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Step-by-step explanation:

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Here is the answer from SparkNotes

http://www.sparknotes.com/math/algebra2/operationsonfunctions/section3.rhtml

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Read 2 more answers

I don't need you to work it out, just theorem(s) i need to reach the answer :)

VikaD [51]

Not sure why such an old question is showing up on my feed...

Anyway, let $x=\tan^{-1}\dfrac43$ and $y=\sin^{-1}\dfrac35$ . Then we want to find the exact value of $\cos(x-y)$ .

Use the angle difference identity:

$\cos(x-y)=\cos x\cos y+\sin x\sin y$

and right away we find $\sin y=\dfrac35$ . By the Pythagorean theorem, we also find $\cos y=\dfrac45$ . (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if $\tan x=\dfrac43$ , then (by Pythagorean theorem) $\sec x=\dfrac53$ , so $\cos x=\dfrac35$ . And from this, $\sin x=\dfrac45$ .

So,

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3 years ago

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Maru [420]

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Exploration: i got it right.

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2 years ago

8 x y =369 y = ?<br><br> y x 9 = 63 y = 6 + y =?

Nina [5.8K]

Answer:

1. 46.125

Step-by-step explanation: Is your second one in the right format? I don't understand what it is asking. For the first one, however, you need to free the y being multiplied to 8 and so you are going to undo it by dividing 369 by 8.

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