Question

& The lengths of the sides of a triangle
are in the ratio 3:4.5 and its perimeter is 144 find the area of
the triangle and the height corresponding
to the longest side​

Answer 1

Step-by-step explanation:

Let the sides of triangles are 3x,4x and 5x.

And perimeter of the triangle is 144cm.

So , 3x+4x+5x=144

        12x=144

          x=12

so, the sides are triangle are 3(12)=36cm, 4(12)=48cm , 5(12)=60cm

so , the longest side is 60 cm.

Area of triangle =s(s−a)(s−b)(s−c)

here , s=72 and a=36, b=48 c=60

                           = 72(72−36)(72−48)(72−60)

                            = 72(36)(24)(12)

                             = 746496

                              = 864

So, the area of triangle is 864 cm2 and the height corresponding to longest side h=602×864=28.8cm

Answer 2

Answer:

Let the numbers be 3x, 4x and 5x

3x + 4x + 5x = 144

12x = 144

x = 144/12

x = 12

3x = 3 (12)

36

4x = 4 (12)

48

5x = 5 (12)

60

48 + 60 + 36 = 144

Step-by-step explanation:

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