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Does 5,5,10 or 3,4,7 make a right triangle

User ScreechOwl
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In right triangles, the Pythagora's Theorem stand. Recall that if a,b, and c are the side lengths of a triangle, then, being c the longest side:


a^2+b^2=c^2

Testing the 5,5,10 triangle:


5^2+5^2=25+25=50

Note that 50 is not the square of 10, thus this is NOT a right triangle

Now for the triangle 3,4,7:


3^2+4^2=9+16=25

Note that 25 is not the square of 7 (7^2=49)

Thus this triangle is not right either

Answer: None of the given length sides form a right triangle

User Lalith
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