Question

NCERT class 9 exercise 7.4 Questions 6 solution with figure

Answer 1

Step-by-step explanation:

First, let “l” be a line segment and “B” be a point lying on it. A line AB perpendicular to l is now drawn. Also, let C be any other point on l.

To prove:

AB < AC

Proof:

In ΔABC, B = 90°

Now, we know that

A+B+C = 180°

∴ A +C = 90°

Hence, C must be an acute angle which implies C < B

So, AB < AC (As the side opposite to the larger angle is always larger)