Can someone explain me Taales theorem? pleasee
1 answer:
Answer:
Thales theorem is a corollary of the theorem, which states that the angle subtended by an arc at any point on the circumference is half of the angle subtended by it at the centre. For example if the arc AC
subtends angle ∠AOC
at the centre and ∠ABC
any where else on the circumference,
∠ABC=12∠AOC
and if AOC
is a diameter, it forms an angle of 180∘
and angle subtended by it at any point on circumference is
12×180∘=90∘
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Answer:
<u>The correct answer is letter c.</u>
Step-by-step explanation:
The area equation of a triangle is given by:
(1)
Where:
b is the base
h is the height
Let's find first the angle MJK (α), using the tangent definition.
Now, if α = 37° then β (angle JLK) must be:
Now, we can find the distance ML using again the tangent definition:
The base of the triangle LKJ will be:
Therefore, using equation (1) the area of △LKJ will be:
The correct answer is c.
I hope it helps you!