Answer:
Step-by-step explanation:
Given
Points:
Required
Determine the equation of line that is perpendicular to the given points and that pass through
First, we need to determine the slope, m of FG
Where
---
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The question says the line is perpendicular to FG.
Next, we determine the slope (m2) of the perpendicular line using:
The equation of the line is then calculated as:
Where
Multiply through by 2
Add x to both sides
Hence, the line of the equation is
No, it will not be able to make a right triangle.
<em><u>Solution:</u></em>
Given that,
Joel wants to fence off a triangular portion of his yard for his chickens.
The length of three peices of fencing are 8 feet , 15 feet and 20 feet
For making it a right triangle it must satisfy the "Pythagorus theorem"
Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle.
For a right angled triangle with sides a, b, c
Given sides are:
a = 8 feet
b = 15 feet
c = 20 feet
Substituting the values in above formula
Since the pythogoras formula is not satisfied, the given sides cannot form a right angled triangle
Thus , No, it will not be able to make a right triangle.