The length of the opposite side is the same as the length of the hypotenuse (they are the same side in this case), the ratio is:
sin(90 degrees) = 1 / 1 = 1
Thus, sin(90 degrees) equals 1.
In trigonometry, the sine function (abbreviated as sin) is defined based on the angles of a right-angled triangle.
Specifically, for a given angle θ in a right-angled triangle, the sine of θ is defined as the ratio of the length of the side opposite θ to the length of the hypotenuse (the longest side of the triangle, which is always opposite the right angle).
In a standard coordinate system, consider a right-angled triangle where one of the angles is 90 degrees (a right angle).
This angle is often denoted as π/2 radians in radians or 90 degrees in degrees.
In this triangle, the side opposite the angle θ (the side opposite the right angle) is the vertical side, and the hypotenuse is the longest side.
For a right-angled triangle with a 90-degree angle, the sine of θ is defined as:
sin(90 degrees) = length of opposite side / length of hypotenuse
Since the length of the opposite side is the same as the length of the hypotenuse (they are the same side in this case), the ratio is:
sin(90 degrees) = 1 / 1 = 1
Thus, sin(90 degrees) equals 1.
In radians, sin(π/2 radians) is also equal to 1 since it is the same angle as 90 degrees but measured in radians.
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B) -3 units
C) 3 units
D) 21 units
Answer:
Let the unknown length be x
We have a formula to find the triplet of a right angle triangle
Put the given length equal to all three terms in the triplet
put 16 equal to all above three but number comes out has to be integer.
Now,
will not give integer.
And now,
will not get integer value
Hence, the value of m will be 8
And substituting the value in the triplet formula we get
which is given.
the other leg and is odd.
And the hypotenuse or the longest side.
Hence, 16,63 and 65 will form a right triangle
Pythagoras theorem is:
Here, 16 and 63 are sides or legs and 65 is the hypotenuse.