Question

If triangle is posiblle with sides of measure say yes or no that is 3cm 4cm and 5cm?

Answer 1

Yes it is possible that the triangle has sides with length 3 cm, 4cm and 5 cm as it should termed as right angle triangle

Answer 2

$\mathsf{\huge{Answer}}$

Yes, it is possible.

$\mathsf{\huge{Explaination}}$

As by one of the property of triangle which states that the sum of any two sides of the triangle must be greater than the third side. It is most important property to form any triangle. For eg., if we take three measures as 2cm, 3cm, and 5cm. By this measures a triangle cannot be formed. Why? Because the sum of any two sides is not greater than the third side. If we add, 2cm and 3cm, it gives us 5cm. But the third side also measures 5cm. But as per the property, the sum of any two sides must be greater than the third side, here the sum is equal to third side.

$\bold{But\:here,\:if\:we\:add\:any\:two\:sides\:as,}$

=> 3cm + 4cm = 7cm

=> 4cm + 5cm = 9cm

=> 3cm + 5cm = 8cm

$\bold{And\:if\:compare\:the\:addition\:of\:any\:two\:sides\:to\:the third\:side\:as,}$

1. 7cm > 5cm

2. 9cm > 3 cm

3. 8cm > 4cm

$\bold{Here,\:in\:all\:the\:three\:cases,\:the\:sum\:of\:any\:two\:sides\:is\:greater\:than\:the\:third\:side.}$

$\mathsf{\huge{Therefore,\:it\:is\:possible.}}$