Question

ABC is an isosceles right angled triangle in which angle C =90°. If AC= 5 cm, then AB2 is equal to:

plz tell fast plz​

Answer 1

Answer:

is an isosceles right angle triangles having ∠C = 90°. If D is any point on AB, then AD2+BD2 is equal to

A) CD2

B) 2CD2

C) 3CD2

D) 4CD2

Correct Answer:

B) 2CD2

Description for Correct answer:

△ABC is a right angle triangle. In which ∠C=90∘ And D is a point on AB such that D is perpendicular on AB.

Let AC = BC = a

∴AB2=AC2+BC2=a2+a2

AB=a2

∴BD=AD=a2–√2=a2–√

Now In △ACD

=AC2=CD2+AD2

a2=CD2+a22

a2−a22=CD2

a22=CD2

CD2=a22

2CD2=a2

and AD2+BD2=(a2–√)2+(a2–√)2

=a2–√+a2–√=a2

∴2CD2=AD2+BD2