Question

the perimeter of a triangle is 36 cm and its sides are in the ratio 3 ratio 4 ratio 5 ratio find its side​

Answer 1

Answer:

Let sides are 3 x , 4 x and 5 x ,

Given that perimeter of the triangle is 36 cm.

So, sum of all sides =36 cm

↪ 3 x + 4 x + 5 x = 3 6

↪ 1 2 x = 3 6

↪ x = 3

So,

Sides are 3 x = 3 × 3 = 9 cm

4 x = 4 × 3 = 12 cm

5 x = 5 × 3 = 15

As we can see that 3 , 4 and 5 are Pythagorean triplets.

Area of triangle = ( 3 x × 4 x ) / 2

Area of triangle = 6 x² cm²

Area of triangle = 6( 3 )³ cm²

Area of triangle = 162 cm²

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Step-by-step explanation: