Question

The sides of a triangle are in the ratio 3:4:5 and its perimeter is 420 m then the measure of longest side is

Answer 1

The length of the sides of a triangle are in the ratio 3:4:5 and its perimeter is 144 cm. Find the area of the triangle and the height corresponding to the longest side

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ANSWER

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:

Hey mate here is your answer:

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

So,perimeter=sum of all sides in that figure,

So 3 x+4 x+5 x=420 m,

12 x=420 m,

x=420/12,

x=35.

So we got the value of x as 35.

Now sides:

3 x = 3(35)= 70 m,

4 x=4(35)=140 m,

5 x=5(35)=175 m.

So measure of the longest side is 175 m.

Hope it helps you.