We need to find the length of the longest side of an arrowhead.
Length of the longest side of the tip is [tex]14.14\ \text{units}[/tex].
The length of one of the legs of the isosceles right triangle is 10 units.
Since, it is a isosceles right triangle, two sides will have equal lengths.
So, the other side of the triangle will also be 10 units and the angle between these two sides will be [tex]90^{\circ}[/tex].
So, the Pythagoras theorem can be used to find the third side which will be the longest.
[tex]h=\sqrt{10^2+10^2}=\sqrt{200}\\\Rightarrow h=10\sqrt{2}=14.14\ \text{units}[/tex]
The length of the longest side of the tip is [tex]14.14\ \text{units}[/tex].
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