Perpendicular 73264

The perimeter of a right triangle is equal to 30 centimeters. Calculate the perpendicular b if a = 5 centimeters and c = 13 centimeters. A natural number expresses the length of the perpendicular b.

Correct answer:

b =  12 cm

Step-by-step explanation:

$$\begin{gathered} a=5\text{cm} \\ c=13\text{cm} \\ o=30\text{cm} \\ o=a+bc \\ b=o-a-c=30-5-13=12=12\text{cm} \\ \text{ Verifying Solution: } \\ {b}_2=\sqrt{c^2-a^2}=\sqrt{13^2-5^2}=12\text{cm} \end{gathered}$$

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