Question

the length of a sides of a triangle are in the ratio 3 :4 :5 and its perimeter is 144 the area of a triangle is​

Answer 1

Answer:

864 unit^2

Step-by-step explanation:

Let the sides are 3a, 4a, and 5a.

Perimeter = sum of sides = 144

⇒ 3a + 4a + 5a = 144

⇒ 12a = 144

⇒ a = 144/12 = 12

   3,4 and 5 are Pythagorean triplets, so the triangle must be a right angled triangle and thus area should be 1/2 * height * base. Hence,

Area = 1/2 * 4a * 3a  = 6a²

         = 6(12)² = 6(144)

         = 864

Answer 2

Answer:

Step-by-step explanation:

from the question,

3x+4x+5x= 144

12x=144

x=12m

3x= 3x12=36m

4x=4x12=48m

5x=5x12=60m

then area of triangle = 1/2x base x height

                                  = 1/2x 48 x 36

                                  = 864 m^2