Right triangle eq2

The hypotenuse of a right triangle is 9 cm longer than one leg and 8 cm longer than the other leg. Determine the perimeter and area of the triangle.

Final Answer:

o =  -2 cm
S =  6 cm2

Step-by-step explanation:

c = 9+a c = 8+b c2=a2+b2  c2=(c−9)2+(c−8)2  −c2+34c−145=0 c2−34c+145=0  p=1;q=−34;r=145 D=q2−4pr=342−4⋅1⋅145=576 D>0  c1,2​=2p−q±D​​=234±576​​ c1,2​=234±24​ c1,2​=17±12 c1​=29 c2​=5  c>9 c=c2​=5 a=c−9=5−9=−4 b=c−8=5−8=−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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