Question

Can someone help with this. Heads up it's ratios

Answer 1

The median side measures 92 yards

Explanation:

Let's call x, y, and z the measures of the sides of the triangle.

The ratios between them are:

`\displaystyle (x)/(y)=(4)/(7)`

`\displaystyle (x)/(z)=(4)/(2)=2`

The first ratio gives the relation:

`\displaystyle y=(7x)/(4)`

The second ratio can be solved for z:

`\displaystyle z=(x)/(2)`

Since the perimeter is 299 yards:

`x+y+z=299`

Substituting the above relations:

`\displaystyle x+(7x)/(4)+(x)/(2)=299`

Multiplying by 4:

`4x + 7x+2x=1196`

Joining like terms:

`13x=1196`

Dividing by 13:

`x=1196/13`

x=92

Now calculate y:

`\displaystyle y=(7\cdot 92)/(4)`

y = 161

`\displaystyle z=(92)/(2)`

z=46

The median side measures 92 yards