Concept explainers
Prove that the figure determined by the points is an isosceles triangle: (1, 3), (4, 7), (8, 4)
The two sides are equal and third one is different so it is an isosceles triangle.
Given information:
The given points (1, 3), (4, 7), (8, 4)
Concept used:
- First, find the value for x on the x-axis.
- Next, find the y-value on the y-axis.
- The point should be plotted at the intersection of x and y.
- Finally, plot the point on your graph at the appropriate spot.
- Then join all the points to make a closed figure.
Calculation:
The given points A(1, 3), B(4, 7), C(8, 4)
Plotting the points in the graph -
Using distance formula −
A(1, 3), B(4, 7)
B(4, 7), C(8, 4)
A(1, 3), C(8, 4)
AB = BC=5
CA =
So the two sides AB=BC are equal and third side CA is different.
Therefore ABC is an isosceles triangle having two sides same and one is different.
Chapter P Solutions
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