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05 Nov 2017, 02:06
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
94% (00:35) correct
6%
(00:58)
wrong
based on 82
sessions
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If the angles of a triangle are in the ratio 1 : 2 : 2, the triangle
(A) is isosceles
(B) is obtuse
(C) is a right triangle
(D) is equilateral
(E) has one angle greater than 80°
(A) is isosceles
(B) is obtuse
(C) is a right triangle
(D) is equilateral
(E) has one angle greater than 80°
05 Nov 2017, 02:17
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Bunuel
If the angles of the triangle are in the ratio 1:2:2,
and the sum of the angles in a triangle are 180, the three angles are 36,72,72 degree respectively.
Therefore, the triangle formed is isosceles because the sides opposite to equal angles are equal(Option A)
05 Nov 2017, 13:20
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Bunuel
Angle ratio is 1 : 2 : 2 -->
x : 2x : 2x
Ratio parts' total = 5x
5x = 180 (degrees in a triangle)
x = 36
The three angle measures are
x = 36°
2x = (2)(36) = 72°, and
2x = (3)(36) = 72°
Sides opposite equal angles are equal. There are two equal sides opposite the 72° angles.
It is an isosceles triangle.
Answer A
