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6. Find the value of the missing side length, to the nearest tenth of a millimetre. a^{2}+b^{2}=c^{2} a^{2}+6^{2}=c^{2} 81+36= C2 117=ca \sqrt{117}=\sqrt{c^{2}} 10.6=c The missing leng th is 10.8mm 10.8mm 6 mm 9 mm

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Question:

Solution:

Applying the Pythagorean theorem, we obtain the following equation:

[tex]h\text{ = }\sqrt[]{6^2+9^2}[/tex]

this is equivalent to:

[tex]h\text{ = }\sqrt[]{36^{}+81}[/tex]

this is equivalent to:

[tex]h\text{ = }\sqrt[]{117\text{ }}=\text{ 10.8}[/tex]

so that, we can conclude that the correct answer is:

[tex]10.8[/tex]

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