Question

Q. The lengths of two sides of a triangle are 1.8 cm and 3.5 cm. Between what two measures should the length of

the third side fall?

Select the correct answer from the following options:
a). 1.4 cm < x < 2.3cm

b). 1.5 cm < x < 2.2 cm

c). 5.1 cm < x < 3.2 cm

d). 1.7 cm < x < 5.3 cm​

Answer 1

Step-by-step explanation:

It is known that the sum of the two sides of a triangle is greater than the third side, so,

thirdside<5+7

thirdside<12

And,

thirdside>7−5

thirdside>2

Therefore, 2<thirdside<12.

Hence, the third side of the triangle falls between (2,12).