Right triangle eq2

Hypotenuse of a right triangle is 9 cm longer than one leg and 8 cm longer than the second leg. Determine the circumference and area of a triangle.

Correct result:

o =  -2 cm
S =  6 cm2

Solution:

c=9+a c=8+b c2=a2+b2  c2=(c9)2+(c8)2  c2+34c145=0 c234c+145=0  p=1;q=34;r=145 D=q24pr=34241145=576 D>0  c1,2=q±D2p=34±5762 c1,2=34±242 c1,2=17±12 c1=29 c2=5   Factored form of the equation:  (c29)(c5)=0  c>9 c=c2=5 a=c9=59=4 b=c8=58=3 o=a+b+c=(4)+(3)+5=2 cm

Our quadratic equation calculator calculates it.

S=a b/2=(4) (3)/2=6 cm2



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