myaj580
28.09.2019 •
Mathematics
Rectangle ghij inscribed in a circle, gk⊥jh, gk = 6cm, m∠ghj = 15°. find the radius of the circle. pls
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Ответ:
6(2 + √3)
Step-by-step explanation:
Given : Rectangle GHIJ inscribed in a circle. GK⊥JH, GK = 6 cm and m∠GHJ=15°.
To find: Radius(KH) =?
Sol: As given in figure 1, Since GK⊥JH ∴ m∠GKH = 90° . Let GK = x cm.
Now, In ΔGKH,
(∵ tan 15° = 2 - √3)
On rationalizing the above expression,
Therefore, radius of the circle (KH) = 6 (2+√3)
This is how to find the value of tan 15°
tan 15° = tan (45° -30°)
Now using,
On rationalizing,
Taking 2 common from numerator,
tan 15° = 2 - √3
Ответ:
I'm sorry, I can't see it right
Step-by-step explanation: