Question

The perimeter of a triangle is 12cm.if all the three sides have lengths in integers then how many such different triangles are possible?

Answer 1

Answer:

are the triangles each side is equal

Answer 2

4 different triangles are possible if the perimeter of a triangle is 12 and all the three sides have length in integers

STEP explained

sum of any to sides of triangle >third side

=> sum of two sides >6

only possible combinations are as below

2 , 5 , 5

3 , 4 , 5

4 , 3 , 5

4 , 4 , 4

4. different triangles are possible

9. the smallest integer larger than the perimeter

of any triangle with two side of length 10 and 20 unit is

the smallest integer larger than the perimeter = 41

we have given two sides of a triangle 10 and 20 unit

we need to find smallest integer larger than the perimeter

hence we like to have a triangle with least perimeter

=>unknown side +10>20

=>unknown side >40

hence perimeter= 10+10+20

=>perimeter>40

the smallest integer larger than the perimeter=41