Find x, y and perimater of the tringle

The lengths of the two sides of a right triangle containing the right angle differ by 2cm. If the area of the tringle is 24cm^(2). Find the perimeter of the triangle.

Two vertices of a tringle are (1,2,3) and (3,-2,7) and centroid is (2,1,-2). Find the remaining vertex of the tringle.

Find the derivatives of the following : x^(y)=y^(x)

In a tringle the measure of the greatest angle is square of measure of the smallest angle and the other angle is double of the smaller angle. Find the greatest angle of the triangle.

An equilateral trinalge is inscribed in the parabola y^2 = -8x , where one vertex is at the vertex of the parabola. Find the length of the side of the tringle.

An equilateral trinalge is inscribed in the parabola y^2 = -8x , where one vertex is at the vertex of the parabola. Find the length of the side of the tringle.

Find the values of k if area of tringle is 4 sq. units and dvertices are : (i) (k,0), (4,0), (0,2)