Solve the problems below. Please answer with completely simplified exact value(s) or expression(s). Chapter Reference c In ΔABC, AC = BC, CD ⊥ AB with D ∈ AB , AB = 4 in, and CD = 3 in. Find AC.

Respuesta :

Answer:

  AC = √13 in

Step-by-step explanation:

CD is the altitude of isosceles triangle ABC, so D is the midpoint of AB, and AD = 2.

AD and CD are the legs of right triangle ACD, so ...

  AC² = CD² + AD² = (3 in)² + (2 in)² = (9 +4) in² = 13 in²

  AC = √(AC²) = √13 in ≈ 3.6055 in

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