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hodyreva [135]
3 years ago
10

What is the value of x?

Mathematics
1 answer:
ioda3 years ago
7 0

Answer:

50.714 (3 dp)

Step-by-step explanation:

Using trigonometry.

cos(\theta)=\frac{adj}{hyp} \\adj = hyp  * cos(\theta)\\120*cos(65) = 50.714

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Given that <span>DG, EG, and FG are perpendicular bisectors of the sides of △ABC, this means that the point of intersection, G, is the circumcenter of the triangle and hence A</span><span>G, BG, and CG are equal.

Given that </span><span>DG = 5 cm and BD = 12 cm, then

BG= \sqrt{DG^2+BD^2}  \\  \\ = \sqrt{5^2+12^2} = \sqrt{25+144}  \\  \\ = \sqrt{169} =13

Since AG = BG = CG, therefore, CG = 13 cm.</span>
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