Question

Sum of two sides of a triangle is always ___ than the third side.

Answer 1

greater.
This property can be understood from the example given below :-

Example: This figure represents triangle PQR

In the above figure, Triangle PQR has
PQ = 4.5 cm
QR = 8 cm
PR = 6 cm
Now Lets, check the property
PQ + QR $>$ PR
4.5 + 8 $>$ 6
12.5 $>$ 6 (True)
QR + PR $>$ PQ
8 + 6 $>$4.5
14 $>$ 4.5 (True)
PR + PQ $>$ QR
6 + 4.5 $>$ 8
10.5 $>$ 8 (True)

Hence, it is proven that "Sum of Two Sides of the Triangle is Always Greater than the Third Side."