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kompoz [17]
3 years ago
11

Each leg of a 45-45-90 triangle has a length of 6 units. What is the length of its hypotenuse?

Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
5 0
Use the Pythagorean theorem:
(\hbox{one leg})^2+(\hbox{the other leg})^2=(\hbox{hypotenuse})^2 \\
6^2+6^2=x^2 \\
6^2 \times 2=x^2 \\
\sqrt{6^2 \times 2}=x \\ \sqrt{6^2} \times \sqrt{2}=x \\ 6\sqrt{2}=x

 
The length of the hypotenuse is 6√2 units.
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