How many triangles can be constructed with the following measures?
AB = 7.6 cm, AC = 5.4 cm, and = 50°.
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Answer:
No triangle can be constructed with given measures
Step-by-step explanation:
Refer the following figure.
AB = c = 7.6 cm
AC = b = 5.4 cm
∠ABC = B = 50°
Sine rule is given by a/sina = b/sinb = c/sinc
5.4/sin50 = 7.6/sinc
==> sinc = 1.078
Value of sine cannot be greater than 1
Hence no triangle can be constructed with given measures
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