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Amiraneli [1.4K]
3 years ago
10

Each side of an equilateral triangle measures 30cm. Find the length of an altitude, a , of the triangle?

Mathematics
1 answer:
Archy [21]3 years ago
6 0

Answer:

X=25.98cm

Step-by-step explanation:

From the question we are told that:  

Length of each side l=30cm

Let the triangle be divide by two form a right angle triangle with base angles as 90 \textdegree(angle of perpendicularity) and 60 \textdegree (angle on each vertices of an equilateral triangle)

Generally the equation for the Altitude X is mathematically given by

Trigonometric Rule

X=30sin60

X=15\sqrt{3}

X=25.98cm

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Find the length of the segment with endpoints of (3,2) and (-3,-6).
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The formula of the length of the segment AB:
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Two dice

Assuming that the dice are unbiased or not " loaded".

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How many ways can one get a sum total of 6 if D1 &D2 are rolled at the same time?

These are the possibilities

Case 1.

D1 =1 & D2=5

Or

D1= 5 & D2=1

Case 2.

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Or

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Case 3. D1=3, D2=3

P3 =0.027778

Let's say, P 1 the probability for case 1 and P2 for case 2. There are no other cases.

The final probability P and is the sum total P = P1 + P2 + P3 the probability law of mutually exclusive events.

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Same way,

P3=0.027778, when there is only one way to get the sum 6.

So, P = 0.138894

Based on truncating at the sixth decimal place.

A visual representation with two unbiased dice and the possible cases would also give the same result and is a short cut method. I like to derive from the basics.

Hope This Helps!!!

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