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.
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Given right triangle \( ABC \) with altitude \( BD \) drawn to hypotenuse \( AC \). If \( BD = 10 \) and \( DC = 4 \), what is the length of \( AD \)?
**Diagram Explanation:**
The diagram shows a right triangle \( ABC \) with the right angle at \( B \). There is an altitude drawn from point \( B \) to the hypotenuse \( AC \) that meets \( AC \) at point \( D \). This altitude \( BD \) is given as 10 units. \( DC \) (a segment of the hypotenuse \( AC \)) is given as 4 units. The segment \( AD \), denoted as \( x \), is the value we need to find out.
The given geometric configuration involves three right triangles:
1. \( \triangle ABC \)
2. \( \triangle ABD \)
3. \( \triangle BDC \)
Since these triangles are similar, we can use proportions derived from this similarity to solve for \( x \).
**Answer:**
\( x = \)
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