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The number of degrees in the largest angle of a triangle ins
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25 Dec 2018, 10:42
25 Dec 2018, 10:42
Expert Reply
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Question Stats:
63% (00:37) correct
36% (00:58) wrong based on 131 sessions
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Quantity A |
Quantity B |
The number of degrees in the largest angle of a triangle inscribed in a circle, in which the diameter of the circle is one side of the triangle |
The number of degrees in a right angle |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Re: The number of degrees in the largest angle of a triangle ins
[#permalink]
11 Jan 2019, 15:22
11 Jan 2019, 15:22
Diameter means center angle 180 so max possible angle is 90.
Re: The number of degrees in the largest angle of a triangle ins
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22 Apr 2021, 16:58
22 Apr 2021, 16:58
1
If two vertices (of a triangle inscribed within a circle) are opposite each other, they lie on the diameter. By the inscribed angle theorem, the angle opposite the arc determined by the diameter (whose measure is 180) has a measure of 90, making it a right triangle.
