Question

the sides of a traingle are in ratio 4:6:7 and the perimeter is 34cms. find its area​

Answer 1

Answer:

let all the side to be =x

side are 4x ,6x ,and 7x

perimeter of triangle =sum of all side

34=4x+6x+7x

34=17x

x=34/17

x=2

find all side =8 ,12,14 find area

Answer 2

Answer:

Let the sides be 4x,6x,7x

Perimeter=34

4x+6x+7x=34

17x=34

x=2

Now three sides are

4*2=8

6*2=12

7*2=14

Now the formula for scalene triangle is √s *(s-a)*(s-b)*(s-c)

Here S = 34/2=17

Area=√17*(17-8)*(17-12)*(17-14)

=√17*9*5*3

=√17*135

=√17*135

=√2295

=47.91cm square