Question

In ΔАBC, ∠C = 90° and AC = BC; then AB² is equal to ______.

पर्याय

• AC²

• 2AC²

• BC²

• 2BC² − AC²

Answer 1

In ΔАBC, ∠C = 90° and AC = BC; then AB² is equal to 2AC².

Explanation:

By applying Pythagoras’ theorem to right-angled ΔABC where ∠C = 90°, we get: AB² = AC² + BC². Since it is given that AC = BC, substituting BC with AC gives AB² = AC² + AC² = 2AC².