Question

The tip of a toy arrowhead shaped as an isosceles right triangle is sketched on a graph. the endpoints of one leg are (0,0) and (0,10) what is the length of the longest side of the tip?

Answer 1

We need to find the length of the longest side of an arrowhead.

Length of the longest side of the tip is $14.14\ \text{units}$.

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 $90^{\circ}$.

So, the Pythagoras theorem can be used to find the third side which will be the longest.

$h=\sqrt{10^2+10^2}=\sqrt{200}\\\Rightarrow h=10\sqrt{2}=14.14\ \text{units}$

The length of the longest side of the tip is $14.14\ \text{units}$.

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