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makvit [3.9K]
3 years ago
7

Given: △ABC,

Mathematics
1 answer:
Alexxandr [17]3 years ago
7 0

we are given

△ABC

we can use area of triangle formula

A=\frac{1}{2} AB*BC*sin(B)

we have

AB=6

BC=10

m∠B=120°

so, we can plug it

A=\frac{1}{2} 6*10*sin(120)

A=\frac{1}{2} *60*\frac{\sqrt{3} }{2}

A=15\sqrt{3}..............Answer


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Answer:

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Use the diagram of point O. What is the length of OY to the nearest 10th of an Inch? XZ = 10 and OX= 10
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From the diagram above,

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Now we solve the traingle OXY

To find OY we solve using pythagoras theorem

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applying values from the triangle above

\begin{gathered} OX^2=XY^2+OY^2 \\ 10^2=5^2+OY^2 \\ 100=25+OY^2 \\ OY^2\text{ = 100 -25} \\ OY^2\text{ = 75} \\ OY\text{ = }\sqrt[]{75} \\ OY\text{ = }\sqrt[]{25\text{ }\times\text{ 3}} \\ OY\text{ = 5}\sqrt[]{3\text{ }}in \end{gathered}

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5\sqrt[]{3}

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