Question

Two sides of a triangle are of length 5cm
and 1.5cm • The length of the third
side of the triangle cannot be.
a) 3.4cm
c)3.8cm
b)3.6cm
d)4.1cm​

Answer 1

Answer:

3.4 cm cannot be the length of the third side.

Step-by-step explanation:

Given : Two sides of a triangle are of lengths 5 cm and 1.5 cm.

To Find: The length of the third side of the triangle cannot be 3.6 cm 4.1 cm 3.8 cm 3.4 cm

Solution:

Property : The length of a side of a triangle is less than the sum of the lengths of the other two sides and greater than the difference of the lengths of the other two sides.

So, the sum of two given sides : 5+1.5=6.5

So, by property third side must be less than 6.5 .

All options are true according to this property since all options are less than 6.5.

Now difference of two given sides : 5-1.5=3.5

So, 3.6 , 4.1 , 3.8 are greater than the difference of the two sides .

Only 3.4 cm is less than 3.5 .

So, 3.4 cm cannot be the length of the third side.

a) 3.4cm