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dlinn [17]
3 years ago
15

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

Mathematics
1 answer:
ohaa [14]3 years ago
8 0

Answer:

<em>The median side measures 92 yards</em>

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

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