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Answer:
Perimeter of the triangle formed by connecting the midpoint of the triangle
Step-by-step explanation:
Here is an image of the triangles.
The Midpoint Theorem: It states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.
So we have .
We see that by applying midpoint theorem.
Lets say that
As perimeter is the summation of the side lengths.
Dividing both sides with
Now replacing with
and following the same for the rest.
We will have: .
So the perimeter of the triangles formed by the midpoints of the triangle
Answer:
Probability that both cans were regular soda =
Step-by-step explanation:
Probability =
We are given 12 total number of cans; 4 cans have been accidentally filled with diet soda.
Probability that first can is a regular soda:
Outcome that first can is a regular soda will give us the number of regular soda available which are 4
Using formula of probability
Total possible outcomes are, n(total) = 12
Desired outcome: 4 (cans of regular soda)
P(1st can) = =
Probability that 2nd can is a regular soda:
<em>As we have already taken a can of regular soda from the pack, the total soda in the pack now 11 and the regular soda left are 3.</em>
Total possible outcomes are, n(total) = 11
Desired outcome: 3 (cans of regular soda as one has already been taken)
P(2nd can) =
Probability that both cans are regular soda:
P(both) = P(1st can) × P(2nd can)
=
=