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miss Akunina [59]
3 years ago
8

The altitude of an equilateral triangle is 4.5 in. Find it's sides.

Mathematics
2 answers:
Mrrafil [7]3 years ago
4 0

Answer:

The length of each side is 3√3 in  or 5.20 in to the nearest hundredth.-

Step-by-step explanation:

The altitude splits up the triangle into two 30-60-90 triangles.

The ratio of the sides of these triangles is 2:1:√3.

The ratio of the altitude to the hypotenuse ( which is the side of the equilateral triangle ) = √3 : 2 so we have the equation:

2  / √3 = h / 4.5  where h is the required side.

h = 2*4.5 / √3

= 9 /√3

= 3 √3

= 5.196 in.

never [62]3 years ago
3 0

Answer:

Step-by-step explanation:

Let the length of each side be x. We can divide the triangle into two to get two right angled triangles which side will be x (hypotenuse), 4.5 (height), x/2 for base.

Using Pythagoras's theorem

x² = 4.5² + (x/2)²

x² = 81/4 + x²/4

x² - x²/4 = 81/4

3/4x² = 81/4

x² = 27

x = √27 = 3√3 in

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Answer:

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Step-by-step explanation:

If we find the diameter, we can find the radius by halving the diameter.

We can find the diameter by using the endpoints of the diameter.

The distance formula will give us the length between (3,1) and (9,9).

The distance formula is \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.

The distance between the x's is 9-3=6.

The distance between the y's is 9-1=8.

The distance between the points is given by \sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10.

The radius is therefore \frac{10}{2}=5.

We are asked to find the area of this circle.

The formula for finding the area of a circle is \pi r^2.

Since the radius is 5, then the area in terms of \pi,(pi), is \pi (5)^2=\pi (25).

The answer is 25\pi units squared.

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

The given expression is:

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(2q²-5pq) - (2q-5p)

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