Question

Mr. Ajay want to construct a triangular kitchen garden whose perimeter is 42m .Is it possible to construct a triangle with dimension 20m,12m,10m? Why or why not

Answer 1

Given : Mr. Ajay want to construct a triangular kitchen garden whose perimeter is 42m .

To Find : Is it possible to construct a triangle with dimension 20m,12m,10m?

Solution:

Perimeter = Sum of Sides

=> 20 + 12 + 10 = 42    Satisfied

Also sum of any two sides of triangle is greater than third side

10 + 12   = 22 > 20

10 + 20 = 30 >  12

12 + 20  = 32 > 10

Satisfied.

Hence its possible to construct this triangle

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Answer 2

Given :

• Mr. Ajay want to construct a triangular kitchen garden whose perimeter is 42m .

To find :

• We need to construct a triangle with dimension 20m,12m,10m

Solution :

Yes , It's possible to construct

Perimeter of edges = Sum of each sides

Add ,

20 + 12 + 10 = 42 also , in the given question given same .

It's greater than 1st and 2nd 3rd is the largest .

10 + 20 = 30 > 10

12 + 20 = 32 > 10

10 + 12 = 22 > 20

Hence , we can construct the traingle ✓