Lundrigan290
Answered

The angles 46 degrees and 44 degrees are complementary. True or False


sin 60 degrees =cos 30 degrees. True or False


In a right triangle, one of the angles is 90 degrees and the sum of the other two angles is 90 degrees. True or False


In a right triangle, if two sides are known, we can solve the triangle. True or False


In a right triangle, if the two acute angles are known, we can solve the triangle. True or False


Help me Please!!!!

Verified Answer :

RedRicin
  1. Complementary angles are angles whose measures add up to 90°.
    46° + 44° = 90°, so the angles are complementary. true

    2. sin(x) = cos(90-x). Here's why:
    Sine = opposite/hypotenuse
    Cosine = adjacent/hypotenuse
    The side opposite one angle is the same as the side adjacent to the opposite angle.
    Therefore sin(angle) = cos(opposite angle)
    These can be expressed as (x) and (90-x), as we will explore in question #3.
    Anyways, sin(60°) = cos(90-60°) = cos(30°), so this is true

    3. If we have a right triangle, it must have one right angle measuring 90°.
    The angles of a triangle add up to 180°.
    The other two angles' measures must add up to 90° because of this. true

    4. true
    Use the two sides to find the third (Pythagorean theorem)
    Use the Law of Cosines to find each angle.

    5. false
    We need a side to know how large the triangle is going to be.
    This is why triangles that share two angles are similar but not necessarily congruent.

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