Question

The perimeter of a triangle is 100 cm and its sides are in ratio 1:2:3. What is area of triangle

Answer 1

Answer:

As given , Perimeter of a triangle = 100 cm .

And its sides are in the ratio 1:2:3 .

Then , we know that sum of all the sides of a triangle = its perimeter .

Let. 1:2:3 be x , 2x and 3x respectively .

= x + 2x + 3x = 100 cm .

= 6x = 100 cm .

= x = 50/3 cm .

= 2x = 100/3 cm .

= 3x = 50 cm . ( After doing calculations ) .

Area = 0 .

Because the sum of first two two angles must be greater than the third angle .

But our first angle is x and second angle is 2x . And we all know that sum of x + 2x = 3x ( And in this case both LHS and RHS are equal and we only want it the two of the angles must be greater than the third angle .