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Answer:
AB = 10.06 cm
Step-by-step explanation:
Consider the given figure,
We have to find the length of side AB.
Lets rename the figure first, ABCD forms a rectangle. So , CB = DA = 12 cm
Also, EA = ED +DA ⇒ 15 = ED + 12 ⇒ ED = 15 - 12 ⇒ ED = 3 cm
Pythagoras theorem states that in a right triangle the sum of square of base and perpendicular is equal to square of hypotenuse.
Using, Pythagoras Theorem on Δ EDC,
ED = 3 cm , EC = 10.5, Substitute, we get,
Solve for DC, we get,
Since, ABCD is a rectangle. Thus, DC = AB
Hence, AB = 10.06 cm
