Find the area and perimeter of the triangle: if the side AC = 58 cm, AD = 42 cm, CD = 79 cm.

P = a + b + c = AC + AD + CD = 58 cm + 42 cm + 79 cm = 179 cm.

Since all three sides of the triangle are known, you can find its area using Heron’s formula:

S = √ (p (p – a) (p – b) (p – c)) = √ (89.5 (89.5 – 58) (89.5 – 42) (89.5 – 79)) ≈ 1185.8 cm2.

Answer: 179 cm; 1185.8 cm2.



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