Answer:
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In geometry, a hypotenuse is the longest side of a right-angled triangle, the side opposite the right angle. The length of the hypotenuse can be found using the Pythagorean theorem, which states that the square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.
<em>It is useful in different situations involving the need to find distance or the measure of an angle.</em>
Use the Pythagorean theorem to calculate the hypotenuse from right triangle sides. Take a square root of sum of squares: c = √(a² + b²)
Answer: The correct option are B, C and D.
Explanation:
The law of sine states that,

Where A, B, C are interior angles of the triangle and a, b, c are sides opposite sides of these angles respectively as shown in below figure. Only AAS or SSA types problems can be solved by using Law of sine.
Since we need the combination of two sides and one angle or two angles and one side.
In option A, the two consecutive angles are known and a side which makes the second angle with base side is known, therefore the first angle is opposite to the given side, so the law of sine can be used for AAS problems.
Therefore, option A is incorrect.
In option B a side is known and two inclined angle on that line are known. But to use Law of sine we want the line and angle which in not inclined on that line, therefore the ASA problem can not be solved by Law of sine and the option B is correct.
In option C two sides and their inclined angle is known. But to use Law of sine we want the side and angle which in not inclined on that line, therefore the SAS problem can not be solved by Law of sine and the option C is correct.
In option D three sides are given but any angle is not given, therefore the SSS problem can not be solved by Law of sine and the option D is correct.
Answer:
6 millimeters
Explanation:
The standard deviation is the square root of the variance.
Since the variance is 36, the standard deviation would be
√36 = 6
Answer:
11.64
Step-by-step explanation:
100%-> 48
15%-> 7.20
6.25%-> 3
48+7.20+3=58.20
58.20÷5=11.64