Triangle ABC

Triangle ABC has side lengths m-1, m-2, m-3. What has to be m to be triangle

a) rectangular
b) acute-angled?

Correct result:

m(a) =  6
m(b) =  7

Solution:

(m1)2=(m2)2+(m3)2;m>3 m22m+1=m24m+4+m26m+9 m28m+12=0  m1,2=b±D2a=8±162 m1,2=8±42 m1,2=4±2 m1=6 m2=2  m>3 m(a)=6 

Our quadratic equation calculator calculates it.

b) m>6



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