i.
Plot the graph having points A(-5,1), B(1,1) and C(1,-3).
i.
Answer to Problem 33PPS
Following is the graph having points A(-5,1), B(1,1) and C(1,-3).
Explanation of Solution
Given:
Co-ordinates of graph: A(-5,1), B(1,1) and C(1,-3).
Calculations:
We have coordinates of graph.
A(-5,1), B(1,1) and C(1,-3).
After connecting points, we get right angle
Conclusion:
Therefore, we are able to plot given points on graph.
ii.
Calculate length of AC.
ii.
Answer to Problem 33PPS
Length of AC is 7.211unit
Explanation of Solution
Given:
Calculation:
Here, we have to find value of hypotenuse that is length of AC.
From given figure, we have endpoints (x1,y1) and (x2y2). Thus, we can find distance between two points
Conclusion:
Therefore, we are able to calculate length of AC using distance formula.
iii.
Calculate sides of
iii.
Answer to Problem 33PPS
Length of AB =3.6055 unit
Length of BC =7.057 unit
Explanation of Solution
Given:
Length of AC =7.211 unit
Calculation:
Here, we have to find value of each side of triangle ABC.
Given triangle is right angle triangle. Lengths of triangle are different. Thus, we can say that triangle may be
Therefore, applying trigonometry, we get length of AB and BC.
Now applying Pythagoras theorem to calculate length of BC,
Conclusion:
Therefore, we are able to calculate length of AB and BC using trigonometry and Pythagoras theorem.
iv.
Calculate area and perimeter of
iv.
Answer to Problem 33PPS
Area of
Perimeter of
Explanation of Solution
Given: From sub part (iii) Length of AC =7.211 unit
Length of AB =3.6055 unit
Length of BC =7.057 unit
Calculation:
Area of
Perimeter of
Conclusion:
Therefore, we are able to calculate area and perimeter of
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Pre-Algebra, Student Edition
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