If the two sides of the triangle are 3cm and 8cm in length, and the perimeter is even, what is the perimeter?

If the two sides of the triangle are 3cm and 8cm in length, and the perimeter is even, what is the perimeter?


Let the other edge be X
Then (8-3)



If the lengths of three sides of a triangle are all integers and the circumference is 11, then there are several different triangles satisfying the condition


This is because the sum of the two sides is greater than the third side, and the difference between the two sides is less than the third side
There are four triangles that satisfy the conditions
namely:
⑴1、5、5
⑵2、4、5
⑶3、3、5
⑷3、4、4
May I help you!



If the three sides of △ ABC are integers, the perimeter is 11 and one of them is 4, then the maximum side length of △ ABC is ()
A. 7B. 6C. 5D. 4


Let the maximum side length of the triangle be a and the minimum side be B. according to the known, we get a + B = 7. According to the trilateral relationship of the triangle, we get A-B < 4. When A-B = 3, we get a = 5 and B = 2. So we choose C



If the perimeter of a triangle is 17 and the lengths of three sides are integers, how many triangles are there


Let a ≤ B ≤ C
A + B + C = 17, that is, a + B = 17-c
A + b > C
∴17-c>c
c<17/2
A ≤ B ≤ C
∴a+b+c=17≤3c
∴c≥17/3
That is 17 / 3 ≤ C < 17 / 2
C = 6, or 7, or 8
When C = 6:
a+b=11≤2b
b≥11/2
And B ≤ C = 6
х B = 6, a = 5
When C = 7:
a+b=10≤2b
b≥5
And B ≤ C = 7
∧ B = 5, a = 5; or B = 6, a = 4; or B = 7, a = 3
When C = 8:
a+b=9≤2b
b≥9/2
And B ≤ C = 8
∧ B = 5, a = 4; or B = 6, a = 3; or B = 7, a = 2; or B = 8, a = 1
There are eight
a+b+c=17