Questions on scalene triangle

A Scalene triangle has

The sides of a scalene triangle are of ........... lengths.

Suppose a,b,c are sides of a scalene triangle. Let Delta=|(a,b,c),(b,c,a),(c,a,b)| Then

If a,b,c are sides of a scalene triangle,then value of |abcbcacab| is (a)positive (b) negative (c)non-positive (d) non-negative

If the points A(3,4),B(x_1 ,y _1) and C(x_2 ,y_2) are such that both 3 , x_1, x_2 and 4, y_1 ,y_2 are in AP, then (i) A , B , C are vertices of an isosceles triangle (ii) A , B , C are collinear points (iii) A , B , C are vertices of a right angle triangle (iv) A , B , C are vertices of a scalene triangle (v) A , B , C are vertices of a equilateral triangle

The number of lines of symmetry in a scalene triangle is

A triangle whose two sides are equal is known as acute triangle (b) an isosceles triangle a scalene triangle (d) a right triangle

The sides of a scalene triangle are integers in cm If the perimeter of the triangle is 15 cm, then how many such triangles exist?

A triangle having all sides of different length is known as scalene triangle (b) isosceles triangle an equilateral triangle (d) an acute triangle