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ira [324]
3 years ago
9

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

Mathematics
2 answers:
kvv77 [185]3 years ago
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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3 years ago
A sailboat leaves port and sails 12 kilometers west and then 9 kilometers north.
GarryVolchara [31]

Answer:  The sailboat is at a distance of 15 km from the port.

Step-by-step explanation:  Given that a sail boat leaves port and sails 12 kilometers west and then 9 kilometers north.

We are to find the distance between the sailboat from the port in kilometers.

Since the directions west and north are at right-angles, we can visualize the movement of the sailboat in the form of a right-angled triangle as shown in the attached figure.

The sailboat moves leaves the port at P and reach O after sailing 12 km west. From point O, again it moves towards north 9 km and reach the point S.

PS = ?

Using the Pythagoras theorem, we have from right-angled triangle SOP,

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3 0
3 years ago
In AKLM, m = 1.2 cm, k = 5.1 cm and
Elodia [21]

Answer:

  4.2 cm

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The law of cosines is applicable.

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  l ≈ √17.4236

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4 0
3 years ago
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julia-pushkina [17]

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Square

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