How do you determine the number of possible triangles and find the measure of the three angles given $a = 5, b = 10, m ∠ A = 30$ $a=5, b=10, mangleA=30$ ?

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Answer 1 · 2018-02-26T07:24:15

It’s a right triangle with angles measuring $30^{\circ}, 60^{\circ}, 90^{\circ}$ $30^@, 60^@, 90^@$

Only one solution possible.

$a = 5, b = 10, ˆ A = 30^{\circ}$ $a = 5, b = 10, hat A = 30^@$

$sin B = \frac{sin 30 \cdot 10}{5} = 1 or ˆ B = 90^{\circ}$ $sin B = (sin 30 * 10) / 5 = 1 or hat B = 90^@$

$ˆ C = 180 - 30 - 90 = 60^{\circ}$ $hat C = 180 - 30 - 90 = 60^@$

It’s a right triangle with angles measuring $30^{\circ}, 60^{\circ}, 90^{\circ}$ $30^@, 60^@, 90^@$

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How do you determine the number of possible triangles and find the measure of the three angles given a=5,b=10,m∠A=30a=5, b=10, mangleA=30?