Q4 of 49 Page 167

Check whether (5, -2), (6, 4) and (7, 2) are the vertices of an isosceles triangle.

let A = (5,-2) B = (6,4) and c = (7,2)

⇒ AB =


=


AB =


⇒ BC =


=


BC =


⇒ AC =


=


AC =


As all the sides are unequal the triangle is not isosceles.


More from this chapter

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2

Find the distance between the points (0, 0) and (36, 15).

 3

Verify whether the points (1, 5), (2, 3) and (-2, -1) are collinear or not.

 5

In a class room, 4 friends are seated at the points A, B, C and D as shown in Figure. Jarina and Phani walk into the class and after observing for a few minutes Jarina asks Phani “Don’t you notice that ABCD is a square?” Phani disagrees.

Using distance formula, find which of them is correct. Why?


 6

Show that the following points form an equilateral triangle A(a, 0), B(-a, 0),