Question

Is it possible to have Triangle with sides 4,10,12

Answer 1

Answer:

yes , it is possible, it will form a scalene triangle

Answer 2

Step-by-step explanation:

$\huge\underline\red{Answer}$

Let

the three sides names are=a,b,c

Given:-

a=4

b=10

c=12

Solution:-

as we know that

in a triangle

$\large\blue{\boxed{\green{the\:sum\:of\:two\:sides>rest\:side}}}$

Verification:-

Situation-1:-

$\large\blue{\boxed{\green{a+b>c}}}$

$\implies{4+10>12}$

$\implies{14>12}$

thus verified

Situation-2:-

$\large\blue{\boxed{\green{b+c>a}}}$

$\implies{10+12>4}$

$\implies{22>4}$

thus verified

Situation-3:-

$\large\blue{\boxed{\green{c+a>b}}}$

$\implies{4+12>10}$

$\implies{16>10}$

thus verified

Hence it is possible to have a triangle with sides 4,10,12

Hope it helps you