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CBSE Class 10 Answered

Show that the points (-2, 3), (8, 3) and (6, 7) are the vertices of a right triangle.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
answered-by-expert Expert Answer

The given points are A(-2,3) B(8,3) and C(6,7).

Using distance formula, we have:

AB2 =

AB2 = 102 + 0

AB2 = 100

BC2 =

BC2 = (-2)2 + 42

BC2 = 4 + 16

BC2 = 20

CA = (-8)2 + (-4)2

CA2 = 64 + 16

CA2 = 80

It can be observed that:

BC2 + CA2 = 20 + 80 = 100 = AB2

So, by the converse of Pythagoras Theorem,

ABC is a right triangle right angled at C.

Answered by | 04 Jun, 2014, 03:23: PM

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