The diagonals of a quadrilateral ABCD are perpendicular. Show that the quadrilateral formed by joining the mid-points of its adjacent sides is a rectangle.
Solution:
More Solutions:
- Write the length of its hypotenuse:
- Find the height of the point on the wall.
- How far from the base of the pole.
- Find the distance between their tops.
- The ratio of the other two sides is 4:3.
- Prove that it is right-angled triangle.
- Find the sides of the triangle.
- Prove that AB² = 2AC².
- Prove that AB² + CD² = AC² + BD².
- Prove that (a + b) (a – b) = (c + d) (c – d).