Question

Is it possible to have triangle with 3cm, 4cm and 5cm sides? check?​

Answer 1

No it is not possible to have a triangle with 3cm, 4cm and 5cm sides.

reason-

the sum of 2 sides should not be greater than 3rd side.

=3 cm +4 cm

= 7 cm

7 cm is greater than 5 cm so the triangle is not possible.

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Answer 2

$\mathtt{\huge{\underline{\green{Answer:-}}}}$

$\sf{\large{\underline{\purple{Yes}}}}$ , we can form a triangle of sides 3cm, 4cm and 5cm .

Firstly , check that it may satisfy any rule of triangle .

The hypotaneous will be one side greater than other two sides.

We have, the sides of length 3 cm, 4 cm, 5 cm,

We kow that,

Hupotaneous < Length × Breadth

➝ 5 < 3 + 4

➝ 5 < 7.

It is satisfying the condition.

Hence, it possible to have triangle with 3cm, 4cm and 5cm sides .

$\setlength{\unitlength}{1cm}\begin{picture}(6,5)\linethickness{.4mm}\put(1,1){\line(1,0){4.5}}\put(1,1){\line(0,1){3.5}}\qbezier(1,4.5)(1,4.5)(5.5,1)\put(-0.2,2.5){\large\bf 3 cm}\put(2.8,.3){\large\bf 4 cm}\put(3.2,3.){\large\bf 5 cm}\put(1.02,1.02){\framebox(0.3,0.3)}\put(.7,4.8){\large\bf A}\put(.8,.3){\large\bf B}\put(5.8,.3){\large\bf C}\end{picture}$