Will give brainliest! How many distinct triangles can be made? I think I have to first find the measure of length b and then com
pare measure a with b and h to find the answer. Please help me out on how to find measure length b
1 answer:
Check the picture below.
this is a case of the ambiguous case with an SSA, AC and CB are the sides and the angle is at A.
the ambiguous case has two triangles, the case when B is acute, CB sticks out, and the case when B is obtuse, CB sticks inside, it just so happen that those two angles for B are "supplementary" angles.
if you check the sin⁻¹ of that, we'll get the acute version of B, that's because of the constraints on the range of the inverse sine function, and we get ∡B ≈ 36.86989765°.
and of course, the other angle for B will be 180 - 36.86989765.
this is a case of the ambiguous case with an SSA, AC and CB are the sides and the angle is at A.
the ambiguous case has two triangles, the case when B is acute, CB sticks out, and the case when B is obtuse, CB sticks inside, it just so happen that those two angles for B are "supplementary" angles.
if you check the sin⁻¹ of that, we'll get the acute version of B, that's because of the constraints on the range of the inverse sine function, and we get ∡B ≈ 36.86989765°.
and of course, the other angle for B will be 180 - 36.86989765.
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The perimeter of a square with side a = 7.2 cm is 28.8 cm. Yes there exists a direct proportional relationship between Side length and Perimeter of square
<h3><u>Solution:</u></h3>Given that side of square "a" = 7.2 cm
We have to find the perimeter of square
<em><u>The perimeter of square is given as:</u></em>
Perimeter of square = 4a
Where "a" represents the length of side of square
Substituting the given value a = 7.2 cm in above formula, we get perimeter of square
Perimeter of square = 4(7.2) = 28.8 cm
<em><u>Are the perimeter of the square and the length of its side directly proportional quantities?</u></em>
The Perimeter is equal to a constant times the Side length, or the Perimeter divided by the Side length is equal to four. So this is definitely a proportional relationship between Side length and Perimeter.
Two values are said to be in direct proportion when an increase in one results in an increase in the other.
So when length of sides increases, perimeter also increases
Hence perimeter and length of side of square are directly propotional quantities