Answer:
Step-by-step explanation:
a. This is a right triangle with two sides and one angle given.
-We apply Sine Rule to find the angle B:

-The sides given are 10and 17 and the right angle 90°

Hence the angle B is 36.03°
b.We again use the sine rule to obtain the unknown angle w:
-15 corresponds to 90° and 9 corresponds to w°

Hence, the measure of w is 36.87°
Could 10.6\text{ cm}, 5.6\text{ cm},10.6 cm,5.6 cm,10, point, 6, space, c, m, comma, 5, point, 6, space, c, m, comma and 4.0\tex
vladimir1956 [14]
Since we know that triangle inequality theorem states that sum of any two sides of a triangle must be greater than third side.
Now let us see if it is true for our given side lengths.


Now let us try with another pair.


We can see that sum of 5.6 and 4 is less than 10.6. Therefore, 10.6 cm, 5.6 cm and 4.0 cm can not be side lengths of a triangle.
Answer:
v - w - 1
Step-by-step explanation:
Try an experiment with a small, specific set of numbers like:
4, 5, 6, 7, 8, 9, 10 w = 4 and v = 10.
There are 5 numbers in the list, not counting the first and last. Is this related to the difference between v and w? v - w = 6, one more than 5.
The number of natural numbers between w and v, not including w and v, is v - w - 1.
Those two angles are complementary - which means they both give us 90
degrees. We know that all three angles in any triangle must be exactly
180 degrees, so the third angle will be 180 - 90 = 90 degrees. It means
that our triangle is a straight triangle. The figure will look more less like in the attachment.
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