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Can a right angle have a leg that is 10 meters long and a hypotenuse that is 10 meters long? explain

User Hkoosha
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Hello from MrBillDoesMath!

Answer: No

Discussion:

As I understand the problem statement, we have a right angle traingle with a leg of 10 meters as well as the hypotenuse of 10m. Suppose such a right triangle exists and has legs a,b, c (hypotenuse). By Pythagoras

a^2 + b^2 = c^2 =>

10^2 + b^2 = 10^2 =>

b^2 = 0

That is, the third side of the triangle would have length 0 -- and you don't have a triangle them.


Thank you,

MrB


User Wkornilow
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