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tensa zangetsu [6.8K]

2 years ago

10

One of the legs of a right triangle measures 17 cm and its hypotenuse measures 18 cm. Find the measure of the other leg. If nece

ssary, round to the nearest tenth.
Brainliest will be awarded

1 answer:

Keith_Richards [23]2 years ago

7 0

Answer:

h² = p² + b²

Step-by-step explanation:

324 = 289 + x²

x² = 35

x = 6 is your nearest ten answer

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Can someone please help with this math question:)

Bingel [31]

<u>Solution</u><u>:</u>

The rationalisation factor for $\frac{1}{ a - \sqrt{b} }$ is $a + \sqrt{b}$

So, let us apply it here.

$\frac{1}{5 - \sqrt{2} }$

The rationalising factor for 5 - √2 is 5 + √2.

Therefore, multiplying and dividing by 5 + √2, we have

$= \frac{1}{5 - \sqrt{2} } \times \frac{5 + \sqrt{2} }{5 + \sqrt{2} } \\ = \frac{5 + \sqrt{2} }{(5 - \sqrt{2})(5 + \sqrt{2} ) } \\ = \frac{5 + \sqrt{2} }{ {(5)}^{2} - ( \sqrt{2})^{2} } \\ = \frac{5 + \sqrt{2} }{25 - 2} \\ = \frac{5 + \sqrt{2} }{23}$

<u>Answer:</u>

<u> $\frac{5 + \sqrt{2} }{23}$ </u>

Hope you could understand.

If you have any query, feel free to ask.

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