Problema 8 Tarea5.docx
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Problema 8 Encuentre el perímetro de un triángulo isósceles cuya base mide 45 cm y el ángulo opuesto a la base mides 35°. Comprobar con Geogebra.
Al trazar la altura esta divide la base en dos partes iguales 𝑋 = 22.5 𝐶𝑀 Además, divide al ángulo en dos ángulos congruentes ⊝= 17.5° 𝑙𝑢𝑒𝑔𝑜 𝑡𝑟𝑎𝑏𝑎𝑗𝑎𝑚𝑜𝑠 𝑐𝑜𝑛 𝑒𝑙 𝑡𝑟𝑖𝑎𝑛𝑔𝑢𝑙𝑜
𝑆𝑒𝑛 17.5° = 𝑙=
22.5𝑐𝑚 𝑃
22.5 𝑐𝑚 𝑆𝑒𝑛 17.5
𝑙 = 74.82𝑐𝑚 𝑃 △= 74.82𝑐𝑚 + 74.82𝑐𝑚 + 45𝑐𝑚 𝑷 △= 𝟏𝟗𝟒. 𝟔𝟒𝒄𝒎
Al trazar la altura esta divide la base en dos partes iguales 𝑋 = 22.5 𝐶𝑀 Además, divide al ángulo en dos ángulos congruentes ⊝= 17.5° 𝑙𝑢𝑒𝑔𝑜 𝑡𝑟𝑎𝑏𝑎𝑗𝑎𝑚𝑜𝑠 𝑐𝑜𝑛 𝑒𝑙 𝑡𝑟𝑖𝑎𝑛𝑔𝑢𝑙𝑜
𝑆𝑒𝑛 17.5° = 𝑙=
22.5𝑐𝑚 𝑃
22.5 𝑐𝑚 𝑆𝑒𝑛 17.5
𝑙 = 74.82𝑐𝑚 𝑃 △= 74.82𝑐𝑚 + 74.82𝑐𝑚 + 45𝑐𝑚 𝑷 △= 𝟏𝟗𝟒. 𝟔𝟒𝒄𝒎
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