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Mathematics 18 Online
OpenStudy (anonymous):

Find the area of the given triangle. Round your answer to the nearest tenth.

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

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

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

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

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)

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

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?

OpenStudy (anonymous):

74.8ft^2

OpenStudy (anonymous):

that's right

OpenStudy (anonymous):

Thank you ^-^

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