P. Find the missing side length of he triangle below.
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
![### Question 9: Find the Missing Side Length
#### Problem:
Find the missing side length of the triangle below.
#### Diagram Explanation:
- A right-angled triangle is shown.
- The side opposite the right angle (the hypotenuse) is labeled as 13.3 units.
- One of the other sides is labeled as 9.7 units.
- The length of the other side is not labeled and needs to be found.
#### Method:
To find the missing side length in a right-angled triangle, you can use the Pythagorean Theorem:
\[ a^2 + b^2 = c^2 \]
where:
- \( c \) is the hypotenuse (the side opposite the right angle),
- \( a \) and \( b \) are the other two sides.
In this case:
- \( c = 13.3 \)
- \( b = 9.7 \)
- \( a \) is the unknown side length.
Using the Pythagorean Theorem, you can solve for \( a \).
### Solution:
1. Square the known sides:
\[ 13.3^2 = 176.89 \]
\[ 9.7^2 = 94.09 \]
2. Subtract the square of the given side from the square of the hypotenuse to find \( a^2 \):
\[ a^2 = 176.89 - 94.09 \]
\[ a^2 = 82.8 \]
3. Take the square root of both sides to find \( a \):
\[ a = \sqrt{82.8} \]
\[ a \approx 9.1 \]
So, the missing side length is approximately 9.1 units.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F907aed91-1505-4072-81d2-6809179f9249%2Ff54258c5-512c-486e-92ad-5225e1bd6635%2Fu6qr62_processed.jpeg&w=3840&q=75)
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