Question

which of the following can from triangle? (a)7cm,8cm,10cm. (b)8cm,5cm,15cm. (c)6cm,6cm,13cm. (d)1cm,2cm,3cm. ​

Answer 1

Answer:

(a) is the correct

Step-by-step explanation:

Now According to this question the rule are :-

    (i)  a+b>c

    (ii)  a+c>b

    (iii) c+b>a

   (a)7cm,(b)8cm,(c)10cm.

     a+b>c

     7+8>10       yes

     a+c>b

    7+10>8        yes

     c+b>a

    10+8>7       yes

    It can form the triangle because all the 3 rule has come true

     (a)8cm,(b)5cm,(c)15cm

        a+b>c

         8+5>15               no

           a+c>b

             8+15>5              yes

                c+b>a

                  15+5>8            yes

It cannot form the triangle because all the 3 rule has to come true

            (a)6cm,(b)6cm,(c)13cm

              a+b>c

                6+6>13           no

                 a+c>b

                 6+13>6             yes

                   c+b>a

                   13+6>6             yes

It cannot form the triangle because all the 3 rule has to come true                  

    (a)1cm,(b)2cm,(c)3cm      

        a+b>c

          1+2>3             no

              a+c>b

                 1+3>2        yes

             c+b>a

                 3+2>1            yes

It cannot form the triangle because all the 3 rule has to come true