List of top Mathematics Questions on Triangles asked in AP POLYCET

If the centroid of a triangle formed by the points \((a,b), (b, c)\) and \((c,a)\) is at the origin, then \(a^3+b^3+c^3 =\)

In \(△ABC\), \(DE || BC\), \(\frac {AD}{DB}=\frac 35\) and \(AC=5.6\) cm, then \(AE =\)\(?\)

The points A(-5,0), B(5,0) and C(0,4) are the vertices of which triangle?

If the centroid of the triangle formed by the points \((3,-5),(-7,4)\) and \((10,-k )\) is at the point \((k, –1)\), then the value of k is

If AM and PN are the altitudes of two similar triangles \(∆ABC\) and \(∆PQR\) respectively and \((AB)^ 2 : (PQ) ^2 = 4 : 9\), then \(AM : PN =\)

In the given \(∆ABC\), if \(DE || BC, AE = a\) units, \(EC = b\) units, \(DE = x \) units and \(BC = y\) units, then which of the following is true?

The vertices of a parallelogram are (2, −3), (6, 5), (-2, 1), (-6, -7) in this order. The point of intersection of the diagonals is

The point which is equidistant from the vertices of a triangle is called

If the centroid of the triangle formed with \((a, b), (b, c)\) and \((c, a)\) is \(O(0, 0),\) then \(a^3 + b^3 + c^3 =\)

In the given figure, if AB = c, AC = b and AD 1 BC, then AD =

If the ratio of the corresponding sides of two similar triangles is 2:3, then the ratio of their corresponding altitudes is

The slope of a line perpendicular to 13x-7y-1-0 is

The area of a triangle with vertices (a, b+c), (b, c+a) and (c, a+b) is

The points A(a, 2), B(3, 1), C(-1, 3) do not form a triangle if a=

An equilateral triangle ABC is such that the side BC is parallel to X-axis. Then the slopes of its sides AB, BC, CA respectively are

Which of the following combinations of sides and/or angles cannot form a right-angled triangle?