SOLUTION: In the ΔABC, AB = 16 in, BC = 9 in, AC = 10 in. AD ⊥ to the extended BC. Find CD.
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Question 1116028: In the ΔABC, AB = 16 in, BC = 9 in, AC = 10 in. AD ⊥ to the extended BC. Find CD.
Answer by greenestamps(13216) (Show Source): You can put this solution on YOUR website!
(1) Draw the figure; make sure angle C is obtuse....
(2) There are two right triangles -- ADC and ADB.
(3) Let CD=x and AD=y; use the Pythagorean Theorem to form two equations in x and y.
(4) Solve the pair of equations. The x^2 and y^2 terms cancel, leaving you with a linear equation in x which is easily solved to find the answer.
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