A triangle is right angled if the sides are a=m2-n2, b=2mn and c = m2 + n2 where m and n are positive integers and m is greater then n.

show that this is true by substituting into the equation c2=a2+b2

Question

Mathematics

Werner

31 May, 23:10

A triangle is right angled if the sides are a=m2-n2, b=2mn and c = m2 + n2 where m and n are positive integers and m is greater then n.

show that this is true by substituting into the equation c2=a2+b2

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Answers (1)

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Orlando Callahan · Answer 1

Recall the algebra equation: (a+/-b) ²=a²+/-2ab+b²)

a²+b² = (m²-n²) ² + (2mn) ² = (m²) ²-2m²n² + (n²) ²+2m²n²

= (m²) ²+2m²n² + (n²) ² = (m²+n²) ²=c²

A triangle is right angled if the sides are a=m2-n2, b=2mn and c = m2 + n2 where m and n are positive integers and m is greater then n.show that this is true by substituting into the equation c2=a2+b2

A triangle is right angled if the sides are a=m2-n2, b=2mn and c = m2 + n2 where m and n are positive integers and m is greater then n.

show that this is true by substituting into the equation c2=a2+b2