Question

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

Options

• 2.5 cm

• 5 cm

• 10 cm

• `5sqrt(2)  "cm"`

Answer 1

`5sqrt(2)  "cm"`

Explanation;

Hint:

AB² = AC² + BC²

AB² = 5² + 5²  ...(It is an isosceles triangle)

AB = `sqrt(50)`

= `sqrt(25 xx 2)`

AB = `5sqrt(2)`