Question

In the given figure, AD = 13 cm, DC = 12 cm and BC = 3 cm, then AB is equal to:

Options

• 4 cm

• 3 cm

• 5 cm

• 6 cm

Answer 1

4 cm

Explanation:

In right-angled ΔDCB, applying Pythagoras’ theorem gives:

DB² = DC² + BC² = 12² + 3² = 153.

In right-angled ΔABD, we have:

AB² = AD² − DB² = 13² − 153 = 16,

which yields AB = 4 cm.