Answer: See Explanation
Step-by-step explanation:
This worksheet seems to be about "Special Right Triangles"
In this worksheet, it instructs you to find the missing side lengths.
Explaining number 1)
Step 1) Identifying the triangle and what it means
Since the triangle in number one is a 45-45-90 triangle with the given side length of "1" on one of the legs of the triangle, it can be concluded that the other leg also has a side length of "1" (due to the ratio of side on a 45-45-90 degree triangle), is also states the triangle has 45 degrees labeled on one of the angles, is can also be concluded that the other missing angle is 45 degrees.
Step 2) Answer
The answer to b is 1 and the answer to a is square root of 2, due to the properties of a 45 45 90 triangle (refer attachment)
*you can also use the following attachment to help you on this problem
Answer:
The length of the resulting segment is 500.
Step-by-step explanation:
Vectorially speaking, the dilation is defined by following operation:
(1)
Where:
- Center of dilation.
- Original point.
- Scale factor.
- Dilated point.
First, we proceed to determine the coordinates of the dilated segment:
(,
,
,
)
Then, the length of the resulting segment is determined by following Pythagorean identity:
The length of the resulting segment is 500.