Question

Calculati aria unui triunghi ABC stind ca
AB=5cm AC=8cm si m unghiului A =30 de grade
AB=6cm BC=4 radical din 3 cm si m unghiului B este 60 de grade
BC=8cm AC=12cm si m unghiului C este 45 de grade

Answer 1

a)
AB=5 cm
AC=8 cm
m(<A)=30°
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Aria=?
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$Aria= \frac{AB*AC*sinA}{2} = \frac{5*8* \frac{1}{2} }{2} = \frac{20}{2} =10 cm^2$

b)
AB=6 cm
BC=4√3 cm
M(<B)=60°
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Aria=?
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[tex]Aria= \frac{AB*BC*sinB}{2} = \frac{6*4 \sqrt{3} * \frac{ \sqrt{3} }{2} }{2}= \frac{12 *3}{2}=18 cm^2 [/tex]

c)
BC=8 cm
AC=12 cm
m(<C)=45°
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Aria=?
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$Aria= \frac{BC*AC*sinC}{2}= \frac{8*12* \frac{ \sqrt{2} }{2} }{2} = \frac{48 \sqrt{2} }{2} =24 \sqrt{2} cm^2$