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Question
the leg of a 45°-45°-90° triangle is 19 kilometers long. how long is its hypotenuse? write your answer in simplest radical form. kilometers
Step1: Recall 45-45-90 triangle ratio
In a 45°-45°-90° triangle, hypotenuse = leg $\times \sqrt{2}$
Step2: Substitute leg length
Hypotenuse = $19 \times \sqrt{2}$
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$19\sqrt{2}$ kilometers