in figure, ABC is an isosceles traingle, right angled at C. therefore
a) `AB^2`=`2AC^2`
b) `BC^2`=`2AB^2`
c) `AC^2`=`2AB^2`
d) `AB^2`=`4AC^2`

ABC is a isosceles right angled triangle, right angled at C. prove that AB^(2) = 2AC^(2)

In Fig. 3, ABC is a right triangle, right angled at C and D is the mid-point of BC. Prove that AB^2 = 4AD^2 - 3AC^2 .

P and Q are the mid-points of the CA and CD respectively of a triangle ABC, right angled at C. Prove that: 4AQ^2 = 4AC^2 + BC^2 , 4BP^2 = 4BC^2 + AC^2 , and 4(AQ^2 + BP^2) = 5AB^2 .

ABC is an isosceles triangle with AC = BC. If A B^2=2A C^2 , prove that ABC is a right triangle.

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

ABC is an isosceles triangle with AB = AC = 2a and BC = a . If AD bot BC, find the length of AD .

In an isosceles triangle ABC, AB = AC and D is a point on BC produced. Prove that : AD^(2)=AC^(2)+BD.CD

In triangleABC , angleA= 60^(@) prove that BC^(2)= AB^(2)+AC^(2)- AB . AC

ABC is a triangle in which AB = AC and D is any point on BC. Prove that: AB^(2)- AD^(2) = BD. CD

ABC is a right triangle with AB = AC .If bisector of angle A meet BC at D then prove that BC = 2 AD .