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1 vote
Given the sample triangle below and the conditions csc B = 10, b = 0.5, find the hypotenuse of the triangle.

2 Answers

4 votes

a2+b2=c2a2+b2=c2162+52/32=c2162+52/32=c2256+25/9=c2256+25/9=c2258+7/9=c2258+7/9=c2258+7/9−−−−−−−−=c258+7/9=cc≈16.087
User Tom F
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5.4k points
3 votes
Your sample triangle is missing, but remember that csc stands for cosecant, which is hypotenuse divided by opposite leg. Also,  they tell you b=.5 and we know side b is the opposite leg to angle B since the opposite side is labeled with the same variable as the angle, just in lower case. 10 is the same number as 10/1 so now can set up a proportion of 10/1=H/.5 to solve for the hypotenuse:)
User Niclar
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5.9k points