23 counting numbers less than 500 are square numbers
In a 30°-60°-90° triangle, the longer leg is √3 times the shorter leg. In your triangle, ...
the shorter leg is 10.
Answer:
4:1
Step-by-step explanation:
just divide by the highest numbe 2 in this case
Answer:First three terms: 11,20,29 .
Step-by-step explanation:
Write a systems of equations. tn=a+(n−1)d. sn=n2 (2a+(n−1)d). So,. 110=11+(n−1)d 726=n2(22+(n−1)d).
I hope this is right
Answer:
By the triangle side length theorem, the sum of the two shorter sides has to be equal to or larger than the third side. Thus, we can write the following inequation.
a
+
b
≥
c
, where a and b are the shorter sides and c the longest.
11, 9 and 15 satisfies this inequality while 11, 9 and 20 doesn't.
Justification:
The reason for this rule is simple; it's because if the longest side is longer than the sum of the two shorter sides, this means that the shorter sides aren't long enough to connect with the longest side, thus rendering the shape a collection of lines and disqualifying the possibility of having a triangle, which was our objective.
Practice exercises:
Which of the following triangles is possible?
a) 4,6 and 14
b) 5,11 and 16
c) 1,3,6
D). 12,19 and 26
Find the smallest possible value of a to make the following an actual triangle :
a
,
14
,
25
Hopefully this helps:
Step-by-step explanation:
