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3 years ago

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The area of a triangle is 45.5 cm2 and the base is 10 cm.

2 answers:

erma4kov [3.2K]3 years ago

5 0

Simple...

to find the height of a triangle-->>

Formula: $h_{b} =2 \frac{A}{b}$ -->> Where A=Area and b=base

Now plug in what you know...

$h_{b} =2 \frac{45.5}{10} 

$

$h_{b} =2(4.55)$

$h_{b} =9.1$ cm.

Thus, your answer.

blondinia [14]3 years ago

3 0

The area of a triangle is A=1/2b*h
You have the base (b) and you have the area (A)
So, if you plug in what you know, you get this:
45.5=1/2*10*h
Simplify it:
45.5=5h

Now solve for h
Divide by 5 to get h alone:
9.1=h

Your height is 9.1cm
Hope this helps :)

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if 10 800 cm2 of material is available to make a box with a square base and an open top find the largest possible volume of the

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Let

x--------> the length side of the square base of the box

y-------> the height of the box

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$y=(2,700-0.25x^{2})/(x)$ --------> equation A

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Substitute the equation A in the equation B

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using a graphing tool

see the attached figure

For $x=60\ cm$

$Volume=108,000\ cm^{3}$

the point $(60,108,000)$ is a maximum of the function

<u>Find the dimensions of the box </u>

$x=60\ cm$

Find the value of y

$V=x^{2}y$

$y=V/x^{2}$

$y=108,000/60^{2}$

$y=30\ cm$

<u>The dimensions of the box are</u>

$60\ cm*60\ cm*30\ cm$

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