Length of the hypotenuse of the triangle is [tex]10\sqrt{2}[/tex] unit .
What is the Pythagorean formula ?
In a right triangle,
If Perpendicular = a, Base = b & hypotenuse = c
Then, Hypotenuse = [tex]\sqrt{(Perpendicular)^{2}+(Base)^{2} }[/tex]
⇒ c = [tex]\sqrt{a^{2}+b^{2} }[/tex]
What is the length of hypotenuse ?
In the diagram, Base = 10 unit & Perpendicular = 10 unit
∴ Hypotenuse = [tex]\sqrt{(Perpendicular)^{2}+(Base)^{2} }[/tex]
= [tex]\sqrt{10^{2}+ 10^{2} }[/tex]
= [tex]\sqrt{200}[/tex]
= [tex]10\sqrt{2}[/tex]
So, Hypotenuse = [tex]10\sqrt{2}[/tex] unit
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