Question

Two runners ran from there points and met at a common point. One ran 35 km and the other ran 77 km, what would be the length if they both would have ran in the same direction diagonally?

• A. 85 km
• B. 84.58 km
• C. 86 km
• D. 84 km

Answer 1

The correct option is B 84.58 km

Let one run from from $A$ to $C$ a distance of $77km$ and the other run from $B$ to $C$ a distance of $35km$

Now the diagonal distance is $AB$

Using pythagoras theorem

${\left(AB\right)}^2={\left(BC\right)}^2+{\left(AC\right)}^2{\left(AB\right)}^2={\left(35\right)}^2+{\left(77\right)}^2\Rightarrow {\left(AB\right)}^2=1225+5929\Rightarrow {\left(AB\right)}^2=7154\Rightarrow AB=\sqrt{7154}=84.58$

So the diagonal distance is $84.58km$