Mathematics, 24.09.2019 08:30 matt199296

The width of a triangle is 6 cm less than its length. if it's perimeter is 80 cm then it's lengths and area are respectively

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Answer from: kira96

The length is 14cm the width is 26cm. And according to my calculations, a=l•w so area would be 364.

Answer from: kanysh

We can keep this problem with one variable, even though there could potentially be two because of length and width. Since we can't find the width without the length, we'll make L be our variable. Here's what we know so far:
Width=L-6
Length=L
Perimeter=80
How do we find perimeter? We add length + length + width + width, or 2*length + 2*width. Wait! We already know what the length and width are -- we wrote it up there ^ ! So now we just need to set up an equation. 2(length)+2(width)=perimeter, or 2L+2(L-6)=80. Now we just solve! You should get L=23. But wait! We're not done, because while we found length, we still need to know the width. We wrote the formula for width up there ^. It's L-6. Since we know L is 23, 23-6=17.
We're done!
L=23
W=17.
To check our answer, we do the perimeter formula again. 2(23)+2(17)=80. Is this true? Yes! So we did it right!

Answer from: Quest

i'm not entirely sure

step-by-step explanation:

if you ask home depot or lowe's they might be able to you out

Answer from: Quest

c. x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

$\frac{little}{big} =\frac{side mn}{side ab}=\frac{side on}{side cb}$ .

$\frac{0.96}{1.2}=\frac{x}{3}$

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.

$0.96(3)=1.2(x)\\2.88=1.2x\\\frac{2.88}{1.2}=\frac{1.2x}{1.2} \\2.4=x$

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