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each leg of a 45 - 45 - 90° triangle measures 14 cm. what is the length…

Question

each leg of a 45 - 45 - 90° triangle measures 14 cm. what is the length of the hypotenuse? 7 cm 7√2 cm 14 cm 14√2 cm

Explanation:

Step1: Recall 45 - 45 - 90 triangle ratio

In a 45 - 45 - 90 triangle, if leg length is $a$, hypotenuse $c=a\sqrt{2}$.

Step2: Substitute given leg length

Given $a = 14$ cm, then $c=14\sqrt{2}$ cm.

Answer:

$14\sqrt{2}$ cm