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Find the lettered side e cm​

Find the lettered side e cm​-example-1

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Answer:


√(122)\approx{11.05}

Explanation:

In any right triangle, the sum of the squares of the lengths of the legs equals the square of the length of the hypotenuse. This is commonly represented by the equation
a^2+b^2=c^2.

In the triangle on the left:


a^2+b^2=c^2


5^2+9^2=c^2


25+81=c^2


106=c^2


√(106)=c

The hypotenuse of the triangle on the left becomes a leg of the triangle on the right, so we repeat the process:


a^2+b^2=c^2


4^2+(√(106))^2=c^2


16+106=c^2


122=c^2


√(122)=c


c\approx{11.05}

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