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Lina20 [59]
3 years ago
7

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

Mathematics
2 answers:
Nady [450]3 years ago
5 0
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:)
Verizon [17]3 years ago
3 0

<span><span><span>a2</span>+<span>b2</span>=<span>c2</span></span><span><span>a2</span>+<span>b2</span>=<span>c2</span></span></span>

<span><span><span>162</span>+<span>52</span>/<span>32</span>=<span>c2</span></span><span><span>162</span>+<span>52</span>/<span>32</span>=<span>c2</span></span></span>

<span><span>256+25/9=<span>c2</span></span><span>256+25/9=<span>c2</span></span></span>

<span><span>258+7/9=<span>c2</span></span><span>258+7/9=<span>c2</span></span></span>

<span><span><span><span>258+7/9</span><span>−−−−−−−−</span>√</span>=c</span><span><span>258+7/9</span>=c</span></span>

<span><span>c</span>≈16.087</span>
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