Question

In ΔABC, AB = `6sqrt(3)` cm, AC = 12 cm and BC = 6 cm, then B = ______.

Answer 1

In ΔABC, AB = `6sqrt(3)` cm, AC = 12 cm and BC = 6 cm, then B = 90°.

Explanation:

Given that AB = `6sqrt(3)` cm, AC = 12 cm and BC = 6 cm.

It can be observed that

AB² = 108 cm, AC² = 144 cm and BC² = 36 cm

Now AB² + BC² = 108 + 36 = 144 cm and AC² = 144 cm

i.e., AB² + BC² = AC², which is satistys Pythagoras theorem

So, ∠B = 90°.