Answer:
A triangle cannot have side measurements of 1, 4 and 5.
As the sum of two sides i.e. '1+4' of a triangle is not greater than the measure of the third side i.e. '5'.
Step-by-step explanation:
The Triangle Inequality Theorem states that the sum of any two sides of a triangle must be greater than the measure of the third side.
For example, a triangle ΔABC must follow the three conditions which are as follows:
For example, a triangle ΔABC with side lengths:
A = 1
B = 4
C = 5
- A + B > C → 1 + 4 > 5 (FALSE)
- B + C > A → 4 + 5 > 1 (TRUE)
- A + C > B → 1 + 5 > 4 (TRUE)
As the condition i.e. A + B > C → 1 + 4 > 5 is not satisfied, as 1 + 4 > 5 is False.
Therefore, a triangle cannot have side measurements of 1, 4 and 5.
Answer: 25
Step-by-step explanation:
Answer:
V/ ( pi r^2)=h
Step-by-step explanation:
V=(pi)(r^2)h
Divide each side by pi r^2
V/ ( pi r^2)=(pi)(r^2)h/ pi r^2
V/ ( pi r^2)=h
Answer:
m^2+4m-21
Step-by-step explanation:
(m-3)(m+7)
m^2-3m+7m-21
m^2+4m-21
Answer:
3x+4
Step-by-step explanation:
f(g(x))=3(x+2)-2
=3x+6-2
=3x+4
