In a right-angled triangle KLM, the angle is KLM = 30 degrees, LM = 12 cm. Find the length of the leg KM.

Knowing the angle and hypotenuse, we find the adjacent leg KL:

KL = LM * sin 30 ° = 12 cm * sin 30 ° = 6 cm.

Find the unknown leg KM using the Pythagorean theorem:

KL ^ 2 + KM ^ 2 = LM ^ 2 – Let us express through this formula.

KM = 10.39 cm.

Answer: Unknown leg in a right triangle, KM = 10.39 cm.



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