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IrinaK [193]
3 years ago
9

Which is best estimate for the length of the short leg a if the hypotenuses c is about 10 cm 15 points!!

Mathematics
1 answer:
iVinArrow [24]3 years ago
3 0

Answer:

A)4

Step-by-step explanation:

Assuming all edges are integral values

The most basic right angles triangle with integral edges is

(3,4,5)

as it obeys pythogores theorem

which is

a^{2}+ b^{2} =c^{2} \\\text{where c is the hypotenuse}\\\text{and a and b are the other side}

3^{2} +4^{2} =5^{2}

Now, double each edge,it will still remain a right angled triangle since it will still obey pythogores theorem

so the edges are (4,6,10)

⇒4 cm is the short leg of a integral right triangle with hypotenuse 10 cm

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                   \rule{50}{1}\large\blue\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}

            <em>Find the equation of the line passing through (4, 5) and parallel to </em>

<em>                 3x-2y=4.</em>

<em />

<em>  </em>\rule{50}{1}\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}

First of all, We need to convert this equation from standard form (ax+by=c) into slope-intercept form (y=mx+b).

\rightarrow First, add 2y on both sides:-

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                  \Large\textsf{2y=-3x+4}

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\rule{300}{3}

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\hookrightarrow\sf{y-y_1=m(x-x_1)}

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Incase you need it converted to slope intercept form, refer to the steps below ~

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Now, Add 5 on both sides:-

\hookrightarrow\sf{y=\displaystyle\frac{3}{2} x+1}

\Uparrow\sf{Our\:equation\:in\:slope\;intercept\;form}

<h3>Good luck with your studies.</h3>

#TogetherWeGoFar

\rule{300}{1}

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