Diagonal of the parallelogram divides the parallelogram in to two equal areas.
So area of parallelogram = 2(area of triangle)
According to the given diagram,
AB= 8, AD = 5 and BD = 11
So according to the Heron's formula,
Area of triangle =
and a, b and c are the three sides of the triangle
Area of triangle ABD =
So, area of parallelogram ABCD = 2(area of triangle ABD)
area of parallelogram ABCD = 2 (18.33)
area of parallelogram ABCD = 36.66
area of parallelogram ABCD = 36.7 sq. units
Answer:
The indicated probability of
Step-by-step explanation:
Probability of an event E to be;
P(E) =
As per the given condition:
Total number of possible outcomes = 52 cards.
Let the event be D and F as follows;
D : Drawn card is a black card
F : Drawn card is a 10 card.
Then,
From the given condition:
P(D) = [Out of 52 cards, 26 were black] ,
P(F) = [Out of 52 cards, there are four 10 cards]
For any two events A and B we always have;
Now, we have to find the indicated probability:
......[1]
First find the P(F');
P(F') =1-P(F) =
Also, to find .
We use the formula :
For any event A and B independent variable.
then;
Now, substitute these in [1];
=
Therefore, the probability of