In an isosceles right-angled triangle, the median drawn from a right angle and equal to 6 find its side area and perimeter.

In isosceles triangles, the median drawn from the vertex of the right angle is both the bisector and the height, and divides the right triangle into 2 equal triangles. => The hypotenuse is 12. Find the legs of this triangle. 12 = √2 * a ^ 2 (a-leg) 144 = 2 * a ^ 2 a ^ 2 = 144/2 = 72 a = √72 = 3√8 The area of a right-angled triangle is half the product of its legs. S = (3√8) ^ 2/2 = 36 Well, and the perimeter is the sum of the lengths of all sides P = 3√8 * 2 + 12 = 6√8 + 12