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3 years ago

Use the Pythagorean theorem to find the third side of the triangle.

Mathematics

2 answers:

ziro4ka [17]3 years ago

6 0

Answer:

9.2 (1DP)

Step-by-step explanation:

First you do 10^2 which is 10 X 10 = 100
Then you do 4^2 which is 4 X 4 = 16
Then you do 100 - 16. The way Ive learnt it is that if the hypotenuse isn't the one you have to find then minus of it it is then plus. So 100 - 16 = 84
A^2 + B^2 = C^2 84 is C^2 meaning now you have to square root it
Square root of 84 is 9.2 to 1 DP

raketka [301]3 years ago

3 0

Answer:

$\huge\boxed{2\sqrt{21}\approx9.17}$

Step-by-step explanation:

$\text{The Pythagorean theorem:}\\\\leg^2+leg^2=hypotenuse^2\\\\\text{We have:}\\\\leg=4,\ hypotenuse=10\\\\\text{Substitute:}\\\\4^2+leg^2=10^2\\\\16+leg^2=100\qquad\text{subtract 16 from both sides}\\\\16-16+leg^2=100-16\\\\leg^2=84\to leg=\sqrt{84}\\\\leg=\sqrt{(4)(21)}\qquad\text{use}\ \sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\\\\leg=\sqrt4\cdot\sqrt{21}\\\\leg=2\sqrt{21}$

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Answer:

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Step-by-step explanation:

Given

To properly solve this question, I illustrate some given parameters using attached image

From the image, apply Pythagoras theorem

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$2x\frac{dx}{dt} + 0 = 2y\frac{dy}{dt}$

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From the question, we have that the plan travels are 510mi/h.

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$x^2 + 1^2 = y^2$

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$x^2 = 4-1$

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$x = \sqrt 3$

So, the expression becomes:

$x\frac{dx}{dt} = y\frac{dy}{dt}$

$\sqrt 3 * 510 = 2* \frac{dy}{dt}$

$\frac{\sqrt 3 * 510}{2} = \frac{dy}{dt}$

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$\frac{dy}{dt} = 255\sqrt 3$

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3 years ago

Use the Pythagorean theorem to find the third side of the triangle.​

Use the Pythagorean theorem to find the third side of the triangle.