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.
![## Geometry Challenge
**Name:** __________
### Instructions:
Calculate the missing length (x) for each of the diagrams below.
### Diagram Description:
A four-sided polygon is depicted, consisting of a right triangle adjacent to a rectangle. The right triangle shares one side (with length 12) with the rectangle. The other sides of the polygon are marked as follows:
- The hypotenuse of the right triangle is labeled as 14.
- One side of the rectangle, perpendicular to the side shared with the triangle, is labeled 6.
- The length to be determined, x, is the vertical side of the right triangle.
### Task:
Apply the Pythagorean theorem to find the value of x. Use the relationship:
\[ a^2 + b^2 = c^2 \]
where:
- \( c = 14 \) (the hypotenuse),
- \( a = x \) (the unknown side),
- \( b = 12 \) (the known side of the right triangle).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F23e174f4-b633-46e7-8d70-130af6245c88%2Ffe497b59-12ec-4dc3-878f-29bb8f096c16%2F1l3gvf_processed.jpeg&w=3840&q=75)


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