State whether the given measurements determine zero, one, or two triangles. a = 80°, a = 24, b = 50

Asked by maham237 @ 22/12/2020 in Mathematics viewed by 340 People

Answered by maham237 @ 22/12/2020

We know that
applying the law of sines
a/sin A=b/sin B---------> a*sin B=b*sin A
A = 80°, a = 24, b = 50
sin B=[b*sin A]/a-----> sin B=50*sin 80/24-----> sin B=2.0517

the sines value can not be greater than 1
hence

the answer is
zero triangles

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