Answer:
8.a 9.acb
Step-by-step explanation:
good luck
Answer:
3 triangles
Step-by-step explanation:
Perimeter of triangle = a + b + c
Given that :
P = 12
and a, b, c are natural numbers
Let :
Side A = a
Side B = b
Side C = 12 - (a + b)
Side A + side B > side C - - - (condition 1)
a + b > 12 - (a + b)
a + b > 12 - a - b
a + a + b + b > 12
2a + 2b > 12
2(a + b) > 12
a + b > 6
Side A - side B < side C
a - b < 12 - (a + b)
a - b + a + b < 12
2a < 12
a < 6
b < 6 (arbitrary point)
Going by the Constraint above :
The only three possibilities are :
(2, 5, 5)
(3, 4, 5)
(4, 4, 4)
Total number of triangle = 3
Equilateral triangle (all 3 sides equal) = (4, 4, 4) = 1
Isosceles triangle (only 2 sides equal) = (2, 5, 5) = 1
Z = 17.
2(4z -8) = 120
8z -16 = 120
z -2 = 15
z = 17
Answer:
ANSWER
M=(−72,12).
Step-by-step explanation:
The midpoint for two points P=(x1,y1) and Q=(x2,y2) is
M=(x1+x22,y1+y22).
We have that x1=−3, y1=−1, x2=−4, y2=2.
So, M=(−3+(−4)2,−1+(2)2)=(−72,12)
