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Given: aakl, m/k=90°, ak = kl = 2, meal, am = ml find: ml and km?

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Final answer:

To find ML, we used the property of an isosceles triangle, which made ML equal to 2 units, the same as AK and KL. For KM, since angle M/K is 90 degrees, KM actually represents the point itself and not a side length, making KM equal to 0 units.

Step-by-step explanation:

The student's question entails two parts: finding the length of segment ML and KM in a geometric figure. Assuming that 'AAKL' represents a quadrilateral shape where angle M/K is 90 degrees (which could be interpreted as a right angle at vertex K), and 'AK' and 'KL' are equal to 2, and 'AM' is congruent to 'ML' (which means AM equals ML). This gives us a hint that we are dealing with an isosceles right triangle on one side of this quadrilateral because the sides are equal and there is a 90-degree angle.

As 'AK' equals 'KL' and both are 2 units in length, 'AM' equals 'ML' by the property of the isosceles triangle, which means 'ML' is also 2 units. To find 'KM', we will use the Pythagorean theorem since we have a right triangle 'AKM'. Here, 'AK' and 'KM' are the legs, and 'AM' is the hypotenuse, so we would do:

AK2 + KM2 = AM2
KM = √(AM2 - AK2)
KM = √(22 - 22)
KM = √(4 - 4)
KM = √(0)
KM = 0

Thus, ML is 2 units, and KM is 0 units (since it's a right angle and not an actual side length).

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