Each side of an equilateral triangle measures 9cm. Find the height, h, of the triangle.

2 answers:

4 0

You can make the equilateral triangle into a right triangle by cutting it in half. So, your sides would be 4.5, 9, and x.
Using Pythagorean Theorem, you know that a^2 + b^2 = c^2.

The 'a' would be equal to 9, and 9^2 is equal to 81.

B is equal to 4.5, and 4.5^2 is 20.25.

So, you have the following:

81 + 20.25 = c^2

And that makes 'c' equal to 101.25.
The square root of 101.25 is approximately equal to 10.06.

So now you know the height, 10.06.

lina2011 [118]3 years ago

3 0

I got 7.8 (rounding to the nearest tenth)
i used the smas formula but i got : (4.5*4.5+x^2=9*9)
so, 20.25+x^2=81
then, x^2= 60.75 (i got 60.75 from subtracting 20.25 from 81)
fonal answer: square root both sides

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rectangle A has a length of 24 meters and a width of 20 meters. rectangle B has the same area as rectangle A. the width of recta

blagie [28]

To solve this, first we'll find the area of the rectangle A,

Area=length × width
?=24m×20m
480m=24m×20m
480m squared=area of the rectangle A

now we'll find the width of rectangle B,
"the width of rectangle B is 12 meters less than the width of rectangle A",
20m-12m= 8m
8m=width of rectangle B

finally we'll find the length of rectangle B,
area of the rectangle B= 480msquared
width= 8m
length=? (to find this divide the area by the width)
480÷8=60m
length of the rectangle B=60m

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