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2. when the length of each leg is 1 unit, the ratio of the hypotenuse t…

Question

  1. when the length of each leg is 1 unit, the ratio of the hypotenuse to the leg is: 1.4 3. measure the length of each leg and the hypotenuse of this triangle: ad = units ae = units de = units m∠ade = 45° m∠aed = 45°

Explanation:

Step1: Identify triangle type

It's a 45 - 45 - 90 right - triangle.

Step2: Recall side - length ratio

In a 45 - 45 - 90 triangle, if leg length is $a$, hypotenuse $c = a\sqrt{2}$. Here $a = 1$, so $c=\sqrt{2}$.

Answer:

The hypotenuse is $\sqrt{2}$ units.