Question

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

Answer 1

Answer:

The median side measures 92 yards

Step-by-step explanation:

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

The ratios between them are:

$\displaystyle \frac{x}{y}=\frac{4}{7}$

$\displaystyle \frac{x}{z}=\frac{4}{2}=2$

The first ratio gives the relation:

$\displaystyle y=\frac{7x}{4}$

The second ratio can be solved for z:

$\displaystyle z=\frac{x}{2}$

Since the perimeter is 299 yards:

$x+y+z=299$

Substituting the above relations:

$\displaystyle x+\frac{7x}{4}+\frac{x}{2}=299$

Multiplying by 4:

$4x + 7x+2x=1196$

Joining like terms:

$13x=1196$

Dividing by 13:

$x=1196/13$

x=92

Now calculate y:

$\displaystyle y=\frac{7\cdot 92}{4}$

y = 161

$\displaystyle z=\frac{92}{2}$

z=46

The median side measures 92 yards