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Answer:
Right triangle.
Step-by-step explanation:
We are asked to determine whether the given side lengths are sides of a right triangle or not.
We know that side lengths of a right triangle are Pythagoras triplets. The square of the longest must be equal to sum of squares of other sides.
Let us check sides of our given triangle.
Since both sides of equation are equal, therefore, the given side lengths are sides of a right triangle.
Given:
The equation of a line is:
A line is parallel to the given line and passes through the point (3,-4).
To find:
The equation of the line in the slope intercept form.
Solution:
The slope intercept form of a line is:
...(i)
Where, m is the slope and b is the y-intercept of the line.
We have,
...(ii)
On comparing (i) and (ii), we get
Slope of the given line is 1.
We know that the slopes of parallel lines are equal. So, the slope of the required line is 1.
The required line passes through the point (3,-4) with slope 1. So, the equation of the required line is:
Subtracting 4 from both sides, we get
Therefore, the equation of the required line is .