If ∆ABC is an isosceles triangle with ∠C = 90°

Home » Aptitude » Plane Geometry » Question

If ∆ABC is an isosceles triangle with ∠C = 90° and AC = 5 cm, then AB is :

1. 5 cm
2. 10 cm
3. 52 cm
4. 2.5 cm

Correct Option: C

As per the given in question , we draw a figure of an isosceles triangle ABC ,

In isosceles triangle ,
AC = BC = 5 cm
∴ AB = √AB² + BC²
AB = √5² + 5²
AB = √50 = 5√2cm