Problem on pythagoras theorem

From geometry terms and definitions we know that,
Pythagoras' theorem is a relation in Euclidean geometry among the three sides of a right triangle (right-angled triangle in British English). It states:

In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle)
Let's see a heights and distances trigonometry problems

Applying Pythagoras theorem to ΔACF

AF=√(9+9)=√18=√(2*9)=3√2






Now in ΔBAF

BF² = AB²+AF²

= 3²+(3√2)²

= 9+18
BF²=27

BF=√(9*3)= 3√3 units

Similar way we can also find length of base of isosceles triangle

Factors of a Number:

Topic:-Factors of a Number:

Factoring is like taking a number apart. It means to express a number as the product of its factors. Factors are either composite numbers or prime numbers (except that 0 and 1 are neither prime nor composite).
This algebra help gives us few examples as well.

•A factor of a number N is a number which divides N exactly.

•Example: the factors of 12 are 1,2,3,4,6,and 12

•Note that every number has itself and 1 as its factors.

•When a number is greater than 1 and has just itself and 1 as factors, the number is prime.
Multiples of a Number:

•A number which is the product of a given number and another factor.

•Example: 12 is a multiple of each of the numbers 1,2,3,4, and 6
Example:
5 x 6 = 30
The numbers that are multiplied 5 and 6 are called factors.
The product formed by multiplying the factors that is 30 is called multiple.
30 is a multiple of 6 and 5
Example: Which number is a factor of 16?
_ 8
_ 5
_ 9
Answer: 8

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