The hypotenuse f a right isosceles triangle has its ends at the points (1,3) and (-4,1). Find the equations of the legs (perpendicular sides) of the triangle.

The hypotenuse of a right angled triangle has its ends at the points (1," "3) and (" "4," "1) . Find the equation of the legs (perpendicular sides) of the triangle.

The hypotenuse of a right angled triangle has its ends at the points (1," "3) and (" "-4," "1) . Find the equation of the legs (perpendicular sides) of the triangle.

If the equation of the hypotenuse of a right - angled isosceles triangle is 3x+4y=4 and its opposite vertex is (2, 2), then the equations of the perpendicular and the base are respectively

The mid-points of the sides of a triangle are (2,1),(-5,7) and (-5,-5)dot Find the equations of the sides of the triangle.

Equation of the base of an equilateral triangle is 3x + 4y = 9 and its vertex is at point (1,2) .Find the equations of the other sides and the length of each side of the triangle .

Prove that the points A (1,-3) B (-3,0) and C(4,1) are the vertices of an isosceles right angle triangle. Find the area of the triangle.

If the ends of the base of an isosceles triangle are at (2, 0) and (0, 1), and the equation of one side is x = 2 , then the orthocenter of the triangle is

the hypotenuse of a right angle triangle is 1m less than twice the shortest side. If the third side is 1m more than the shortest side, find the sides of the triangle.

One of the equal sides of an isosceles triangle is 13 cm and its perimeter is 50 cm. Find the area of the triangle.

Prove that the points (-3,\ 0),\ (1,\ -3) and (4,\ 1) are the vertices of an isosceles right-angled triangle. Find the area of this triangle.