Question

which of the following can be length of the third side of the triangle whose two sides measure 18 cm and 14 cm ? a) 32 cm ( b ) 3 cm ( c ) 4 cm ( d ) 5 cm​

Answer 1

Answer:

Let x=18 cm ; y=14 cm ; z=z of a triangle XYZ.

In a triangle the sum of any two sides must be greater than the 3rd side.

So,. x+y>z ; y+z>x ; x+z>y

=>18+14>z---eqtn 1 =>14+z>18----eqtn 2

In eqtn 1 z<18+14 z<32

In eqtn 2 z>18-14. z>4

From eqtn 1 and 2

4<z<32

From the options the only possibility for the value of z is 5

Option d is the correct answer