Question

what woudl the lenght of a triangle be is the ratio is 3:4:5 and the perimeter is 90

Answer 1

Answer:

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 cm  

2

 and the height corresponding to longest side h=  

60

2×864

​  

=28.8cm

Answer 2

Answer:

Step-by-step explanation:

Let the length be 3x,4x,5x

3x+4x+5x=90cm

12x = 90cm

x = 7.5

Therefore,3x = 3(7.5) = 22.5cm

4x = 4(7.5) = 30cm

5x = 5(7.5) = 37.5cm