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16 December, 05:47

Which set of angles can form a triangle?

A: 2 acute and 1 right

B: 1 acute and 2 obtuse

C: 1 acute and 2 right

D: 1 acute, 1 right and 1 obtuse

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Answers (2)
  1. 16 December, 07:08
    0
    A: 2 acute and 1 right

    Step-by-step explanation:

    A triangle is a polygon that has 3 sides as well as three angles

    Triangles can be can be classified based on their three sides as well as their three angles.

    Based on their sides, we have 3 types of triangles.

    1. Equilateral triangle: This means they have 3 equal sides.

    2. Isoceles triangle: They have only 2 equal sides.

    3. Scalene triangle: The 3 sides are not equal

    Based on their angles, we have 3 triangles.

    a. Acute triangle

    b. Obtuse triangle

    c. Right angle triangle.

    One of the way by which we can form a triangle, is by forming it with 2 acute angles and 1 right angle.
  2. 16 December, 09:34
    0
    The correct option is;

    A: 2 acute and 1 right

    Step-by-step explanation:

    Here we have the definitions of the angles as follows;

    The sum of angles in a triangle = 180°

    An acute angle is an angle less than 90°

    An obtuse angle is an angle more 90 ° but less 180°

    A right angle triangle is an angle equal to 90°

    ∴ A right angle triangle is an angle = 90°

    Therefore, we compare each of the options

    A: 2 acute and 1 right = <90 + <90 + 90 180 Possible

    B: 1 acute and 2 obtuse = 1 90 + >90 > 180°

    C: 1 acute and 2 right = 180

    D: 1 acute + 1 right + 1 obtuse = 90 > 180

    Therefore, the only possible correct option is A.
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