Determine how (if possible) the triangles are similar. Then write a true similarity statement. C 24 40 E A 22.5 D 15 В v similar, by Theses two triangles Similarity Statement: is similar to A
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
Given Data:
From the figure,
The length of side CE is: CE=24
The length of side BC is: BC=40
The length of side AD is: AD=22.5
The length of side BD is: BD=15
For triangle ABC,
The length of side AB is,
Substitute the values in the above equation.
For triangle DBE,
The length of side BE is,
Substitute the values in the above equation.
For triangle DBE and triangle ABC,
The ratio of EB to BC is,
Substitute the values in the above equation.
The ratio of BD to AB is,
Substitute the values in the above equation.
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