RT perimeter

The leg of the rectangular triangle is 7 cm shorter than the second leg and 8 cm shorter than the hypotenuse. Calculate the triangle circumference.

Final Answer:

o =  30 cm

Step-by-step explanation:

a=b7 a = c8 a2+b2=c2 a2+(a+7)2=(a+8)2 a22a15=0  a22a15=0  p=1;q=2;r=15 D=q24pr=2241(15)=64 D>0  a1,2=2pq±D=22±64 a1,2=22±8 a1,2=1±4 a1=5 a2=3  a=a1=5 cm b=a+7=5+7=12 cm c=a+8=5+8=13 cm  o=a+b+c=5+12+13=30 cm

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