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.

Correct answer:

o =  30 cm

Step-by-step explanation:

$$\begin{gathered} a=b-7 \\ a=c-8 \\ {a}^2+b^2=c^2 \\ {a}^2+(a+7{)}^2=(a+8{)}^2 \\ {a}^2-2a-15=0 \\ a=5 \\ b=a+7=5+7=12 \\ c=a+8=5+8=13 \\ o=a+b+c=5+12+13=30\text{cm} \end{gathered}$$

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