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Question
Determine whether the following measurements produce one triangle, two triangles or no triangle:
∠B = 88°, a = 23, b = 2. Solve if solution exists
Solution
Using sine formula
`"a"/sin"A" = "b"/sin"B"`
`sin"A"/"a" = sin"B"/"b"`
`sin"A"/23 = (sin88^circ)/2`
sin A = `(23 xx sin 88^circ)/2`
= `23 xx (1.998)/2`
= 23 × 0.999
= 22.99
Which is not possible
∴ Solution of the given triangle does not exsit.
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