Second-longest 7659

The sides of the ABC triangle measure 39 cm, 42 cm, and 45 cm. The second-longest height of this triangle is 36 cm. What is its shortest height?

Correct answer:

h3 =  33.6 cm

Step-by-step explanation:

a=39 cm b=42 cm c=45 cm  h2=36 cm  a<b<c h1>h2>h3  S=2b h2=242 36=756 cm2  S =  2c h3  h3=2 S/c=2 756/45=5168 cm=33.6 cm

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