ABC is an isosceles triangle right angled at C. Prove that `AB^(2) = 2AC^(2)`.

ABC is an isosceles triangle right angled at A. forces of magnitude 2sqrt(2),5 and 6 act along BC, CA and AB respectively. The magnitude of their resultant force is

ABC is an isosceles triangle right angled at B. Similar triangles ACD and ABE are constructed on sides AC and AB. Find the ratio between the areas of Delta ABE and Delta ACD

ABD is a triangle right angled at A and AC bot BD Show that (i) AB^(2) = BC .BD. (ii) AC^(2) = BC.DC (iii) AD^(2) = BD .CD.

D and E are points on the sides CA and CB respectively of a DeltaABC right angled at C. Prove that AE^(2)+BD^(2)= AB^(2)+DE^(2) .

ABC is an isosceles triangle, with AC= BC. If AB^(2)= 2AC^(2) , prove that ABC is a right triangle.

In the given figure, ABD is a triangle right angled at A and AC bot BD . Show that AC^(2)= BC*DC

In the given figure, ABD is a triangle right angled at A and AC bot BD . Show that AD^(2)= BD*CD

In the given figure ABC is a right triangle and right angled at B such that /_BCA = 2/_BAC. Show that hypotenuse AC = 2BC.

Complex numbers z_(1),z_(2)andz_(3) are the vertices A,B,C respectivelt of an isosceles right angled triangle with right angle at C. show that (z_(1)-z_(2))^(2)=2(z_1-z_(3))(z_(3)-z_(2)).

ABC is a Deltain which /_B lt 90^(@)" and "AD bot CB . Prove that AC^(2)= AB^(2)+BC^(2)-2BC*BD .