Question

In ΔABC, ∠C = 90° then ______.

पर्याय

• AC > AB

• AC = AB

• BC > AB

• AB > BC

Answer 1

In ΔABC, ∠C = 90° then AB > BC.

Explanation:

In a right triangle ΔABC with ∠C = 90°, side AB is the hypotenuse (the side opposite the right angle), and sides AC and BC are the legs.

The hypotenuse AB is always the longest side in a right triangle. Therefore,

AB > AC and AB > BC

From the options given:

• AC > AB, Incorrect (AC is a leg, AB is the hypotenuse, so AC < AB)
• AC = AB, Incorrect
• BC > AB, Incorrect (BC is a leg, AB is the hypotenuse, so BC < AB)
• AB > BC, Correct

Thus, the correct relation is: AB > BC.