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3 years ago

The sides of an equilateral triangle are 8 units long.what is the length of the altitude of the triangle?

Mathematics

1 answer:

dedylja [7]3 years ago

6 0

Answer:

Equilateral triangle implies each angle is 60 degree.

And any median is the altitude.

So, NT perpendicular LM, where T is the midpoint of [ML];

We use the Pythagorean Theorem in right triangle NTL ( NT = h; NL = a;

LT = a / 2 );

h² = a² - (a/2)² = a² - a²/4 = 4a²/4 - a²/4 = 3a²/4 ;

It follows that

h = √(3a²/4) = a√3/2 ≈ 0,866*a;

But, a = 8;

h ≈ 0,866 * 8 ≈ 6,928;

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

(-1, 5)

(0, 3)

(2, -1)

Step-by-step explanation:

we have

$f(x)=3-2x$

Remember that

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<u><em>Verify each case</em></u>

case a) (-2, -1)

substitute the value of x and the value of y in the given function and compare the result

$-1=3-2(-2)$

$-1=7$ ---> is not true

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case b) (-1, 5)

substitute the value of x and the value of y in the given function and compare the result

$5=3-2(-1)$

$5=5$ ---> is true

therefore

Is a ordered pair of the given function

case c) (0, 3)

substitute the value of x and the value of y in the given function and compare the result

$3=3-2(0)$

$3=3$ ---> is true

therefore

Is a ordered pair of the given function

case d) (1,0)

substitute the value of x and the value of y in the given function and compare the result

$0=3-2(1)$

$0=1$ ---> is not true

therefore

Is not a ordered pair of the given function

case e) (2, -1)

substitute the value of x and the value of y in the given function and compare the result

$-1=3-2(2)$

$-1=-1$ ---> is true

therefore

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3 years ago

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mina [271]

Answer:

third and fourth option

Step-by-step explanation:

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