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MrMuchimi
3 years ago
15

Right angle triangle problem solve for x

Mathematics
1 answer:
vladimir2022 [97]3 years ago
5 0
Since the side labeled 3 is 1/3 of 9 it's safe to assume the angle opposite is 1/3 of 90 degrees, making it 30 degrees. Here we are gonna use sin. The formula is gonna be sin(30)=3/x which can be turned into x(sin(30))=3 then divide both sides by sin(30) getting x=6. For Y, you're going to do Pythagorean Theorem. First, take 6^2 and subtract 3^2 which is 25 then square root that to get 5 which is the height of the smaller triangle. Then Pythagorean theorem again, 5^2 plus 9^2 equals 106 square root that to get roughly 10.3. Getting you the answeres of X=6 and Y=10.3 
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10. from the question; the circle theorem obeyed is "angled formed by semi-circle"

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m\angle XYZ=90^{\circ}

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\begin{gathered} m\angle YXZ\text{ = 2x + 8} \\ m\angle YZX\text{ = 5X - 2} \end{gathered}

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