# Hypotenuse

Calculate the length of the hypotenuse of a right triangle if the length of one leg is 4 cm and its content area is 16 square centimeters.

Result

c =  8.944 cm

#### Solution:

$a=4 \ \\ S=16 \ \\ S=ab/2 \ \\ b=2 \cdot \ S/a=2 \cdot \ 16/4=8 \ \\ c=\sqrt{ a^2+b^2 }=\sqrt{ 4^2+8^2 } \doteq 4 \ \sqrt{ 5 } \doteq 8.9443 \doteq 8.944 \ \text{cm}$

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Pythagorean theorem is the base for the right triangle calculator.

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