Advertisements
Advertisements
Question
In ΔABC, ∠C = 90° then ______.
Options
AC > AB
AC = AB
BC > AB
AB > BC
MCQ
Fill in the Blanks
Advertisements
Solution
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.
shaalaa.com
Is there an error in this question or solution?
