Find the missing side length of the triangle. 7.2 ft 9.6 ft 12 ft 9 ft 144 ft 4 ft
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
![### Finding the Missing Side Length of a Triangle
In this exercise, you are required to find the missing side length of a right triangle.
#### Problem:
- **Given:**
1. One leg of the triangle is 7.2 feet long.
2. The other leg of the triangle is 9.6 feet long.
- **Unknown:**
- The missing side length (hypotenuse) 'c'.
#### Diagram:
The right triangle is displayed with:
- One side (leg) measuring 7.2 feet.
- The other side (leg) measuring 9.6 feet.
- The hypotenuse is labeled as 'c'.
#### Question:
- Find the missing side length of the triangle.
#### Options:
1. 12 ft
2. 9 ft (selected)
3. 144 ft
4. 4 ft
#### Explanation:
To find the hypotenuse of a right triangle, you can use the Pythagorean theorem:
\[ c = \sqrt{a^2 + b^2} \]
Where:
- \( a \) and \( b \) are the legs of the triangle,
- \( c \) is the hypotenuse.
In this case:
\[ a = 7.2 \, \text{ft} \]
\[ b = 9.6 \, \text{ft} \]
Substituting the values:
\[ c = \sqrt{(7.2)^2 + (9.6)^2} \]
\[ c = \sqrt{51.84 + 92.16} \]
\[ c = \sqrt{144} \]
\[ c = 12 \]
So, the correct missing side length of the triangle is **12 ft**. The correct answer is:
1. 12 ft](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F907aed91-1505-4072-81d2-6809179f9249%2F7740d258-5809-4939-8048-9fd1cc58b113%2F6u09lfd_processed.jpeg&w=3840&q=75)
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