Answer:
<em>The leg-to-hypotenuse ratio is 1/√2</em>
<em>The ladder represents the longest length in the triangle.</em>
Step-by-step explanation:
The set up in the question will b a right angled triangle
Length of the ladder will be the hypotenuse
The distance from the base of the wall to the base of the ladder is the adjacent
Height of the wall will be the opposite
Note that the longest side is always the hypotenuse (length of the ladder)
Given
length of the ladder = 12foot
The distance from the base of the wall to the base of the ladder = 6√2
The ratio of leg to hypotenuse = 6√2/12 = √2/2
√2/2 = √2/2 * √2/√2
√2/2 = √4/2√2
√2/2 = 2/2√2
√2/2 = 1/√2
Hence the leg-to-hypotenuse ratio is 1/√2
<em>From the calculation the following are correct:</em>
<em>the leg-to-hypotenuse ratio is 1/√2</em>
<em>The ladder represents the longest length in the triangle.</em>
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