Let us prove that the point(-2, - 11) is equidistant from the two points (-3,7) and (4,6)
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Step-by-step explanation:
We know that distance between two points (x1, y1) and (x2, y2) is given that
√(x2-x1)²+(y2-y1)²
Using the above distance formula,
Distance between (–2, –11) and (-3, 7)
√(-1)²+(18)²
=√1+324=√325
=5√13
Distance between (–2, –11) and (4, 6)
√(6)²+(17)²
=√36+289
=√325
=5√13
Hence proved that the point (–2, –11) is equidistant from the two points (–3, 7) and (4, 6)
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