Mathematics, 14.07.2019 21:30, kekoanabor19
Analyze the diagram below and complete the instructions that follow. find the unknown side lenght x. write your answer in simplest radical form.
Answers: 1
. Simplifying we get 2704 - 2304 = c^2. c^2 = 400 so c = 20. That first missing side is 20. Now we move to the next triangle in line. we have the hypotenuse of that triangle as 20 and the base as 12. The formula to find the missing side is 
and c^2=256. c = 16. 16 is the length of that whole side, but that whole side is actually the bases for those 2 small triangles. Before we can solve for x we have to find out what the base of the larger of the 2 triangles is and subtract that from 16 to find the base of the triangle with x in it. Got that? The hypotenuse is 13 and the height is 5, so the formula to find the base of that triangle is 
and 
so 
and c = 12. That means that the base of the triangle with x in it is 16 - 12 which is 4. Now we have the base as 4 of that triangle and the height as 5, so we solve for x: 
and 
so 
and finally we have that 
. That is the simplest radical form, so that's your answer!
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Analyze the diagram below and complete the instructions that follow. find the unknown side lenght x....
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