Two sides of a triangle are parallel to the coordinate axes. If the slopes of the medians through the acute angles of the triangle are 2 and `m ,` then `m=`

The lengths of the medians through acute angles of a right-angled triangle are 3 and 4. Find the area of the triangle.

Two sides of a triangle are along the coordinate axes and the medians through the vertices (other than the origin) are mutually perpendicular. The number of such triangles is/are (a) zero (b) two (c) four (d) infinite

If the sides of right angled triangle are in G.P then the cosines of the acute angle of the triangle are-

Find the locus of the circumcenter of a triangle whose two sides are along the coordinate axes and the third side passes through the point of intersection of the line a x+b y+c=0 and l x+m y+n=0.

If the area of the square drawn on any side of a triangle is equal to the sum of the areas of the squares drawn on the other two sides of the triangle ,then the triangle will be right-angled triangle, the opposite angle of the greatest side of which will be "......................" .

A straight line forms a right angled triangle with the axes of coordinates . If the hypotenuse is 13 unit and the area of the triangle is 30 square unit , find the equation of the straight line.

A straight line forms a right angled triangle with the axes of coordinates . If the hypotenuse is 10 unit and the area of the triangle is 24 square unit , find the equation of the straight line.

The side BC of an equilateral triangle DABC is parallel to X-axis. Find the slopes of the lines along sides BC, CA and AB.

If the angles of a triangle are in ratio 1 : 1 : 2, then the ratio of the sides of the triangle is