Mathematics
18 Online
OpenStudy (anonymous):
Find the area of the given triangle. Round your answer to the nearest tenth.
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OpenStudy (anonymous):
OpenStudy (anonymous):
use Pythagorean to find the missing side
OpenStudy (anonymous):
18^2 = 10^2 + x^2
OpenStudy (anonymous):
Well, then x would equal 8. Becuase 10^2+8^2=18^2.
OpenStudy (anonymous):
no
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OpenStudy (anonymous):
100 + x^2 = 324
OpenStudy (anonymous):
Please explain what you mean
OpenStudy (anonymous):
100 + x^2 = 324
find x
OpenStudy (anonymous):
first subtract both sides by 100
OpenStudy (anonymous):
x=√224
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OpenStudy (anonymous):
ya
OpenStudy (anonymous):
so now we have the base of the triangle
OpenStudy (anonymous):
the area is (base x height)/2
OpenStudy (anonymous):
what is the height?
OpenStudy (anonymous):
Our height is 10ft
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OpenStudy (anonymous):
that's right, so plug the numbers into the formula
OpenStudy (anonymous):
23.66431913 or 23.7
OpenStudy (anonymous):
23.7ft^2
OpenStudy (anonymous):
nope
OpenStudy (anonymous):
(10 x 14.967)/2
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OpenStudy (anonymous):
Why wouldn't we use or square root since it is the exact number? 14.967 is rounded.
OpenStudy (anonymous):
you could us that as well, same result.
OpenStudy (anonymous):
Ok, in that case my teacher prefers us use the √. So then our final answer would be 23.7ft^2. Right?
OpenStudy (anonymous):
no
OpenStudy (anonymous):
what is 10 x sqrt(224)
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OpenStudy (anonymous):
149.6662955
OpenStudy (anonymous):
divide that by 2
OpenStudy (anonymous):
74.83314774
OpenStudy (anonymous):
round that to the nearest tenth
OpenStudy (anonymous):
75.8 or 76ft^2
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OpenStudy (anonymous):
no, look at it again
OpenStudy (anonymous):
74.833
OpenStudy (anonymous):
does the 8 round up or stay the same?
OpenStudy (anonymous):
The eight stays the same since nothing rounds the 3 up to 5.
OpenStudy (anonymous):
correct, so what's the final answer?
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OpenStudy (anonymous):
74.8ft^2
OpenStudy (anonymous):
that's right
OpenStudy (anonymous):
Thank you ^-^