
To find: perimeter of the

Answer to Problem 1E
The perimeter of the triangle is29.2 units
Explanation of Solution
Given:
- 26.7 units
- 29.2 units
- 34.5 units
- 48.6 units
Formula used:
The distance d between these points is calculated as
d=√(x2−x1)2+(y2−y1)2
Calculation:
Observe the positions of the coordinates and find out the coordinates of each point of the triangle.
For example, point X is 4 unit of the left of origin and 5 units upwards. Hence its coordinates will be (-4,5)
Similarly, Y (3.2) and Z (-4, -6)
The coordinates are X (-4,5), Y (3,2) & Z (-4, -6) Apply distance formula by keeping the values of the two coordinates
Hence
For Side XY
d=√(2−5)2+(3−(−4))2
Or, d=√(−3)2+(7)2
Or, d=√9+49
Or, d=±√58 (distance can’t be negative so omit the negative root found)
Or, d=7.6
Similarly, for side YZ
d=√(2−(6))2+(3−(−4))2
Or, d=√(8)2+(−7)2
Or, d=√64+49
Or, d=±√113
Or, d=√113 (distance can’t be negative so omit the negative root found)
Or, d=10.6
Lastly for side ZX
d=√(5−(−6))2+((−4)−(−4))2
Or, d=11 (distance can’t be negative so omit the negative root found)
Hence the measure of all the three sides is
XY=√58=7.6YZ=√113=10.6ZX=11
Thus perimeter (P) =XY+YZ+ZX
P=7.6+10.6+11
P=29.2 units
Conclusion:
Hence, option B is the correct one.
Chapter 10 Solutions
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