The triangle inequality requires that the sum of the shorter sides, a, b of a triangle be greater than the third side c.
This means that
a+b > c
If the third side is the longest, then a=6, b=9, and c<15
That makes 15 an impossible side.
If the third side x is less than 9, then
6+x<9, that makes
x<9-6=3.
That makes 2 an impossible side.
So the possible sides are 4,7,10,12,
Answer:
20m
Step-by-step explanation:
(m+5)^2-(m-5)^2
FOIL
(m+5) (m+5)
m^2 +5m+5m+25
m^2 +10m +25
FOIL
(m-5) (m-5)
m^2 -5m-5m+25
m^2 -10m +25
Replace into the original equation
m^2 +10m +25 - (m^2 -10m +25)
Distribute the minus sign
m^2 +10m +25 - m^2 +10m -25
Combine like terms
20m
Answer:
80⁰
Step-by-step explanation:
x = sum of alternate angles
x = 50 + 30
x = 80⁰
Answer:
4849 cm^3
Step-by-step explanation:
V = (4/3)(pi)r^3
V = (4/3)(3.14159)(10.5 cm)^3
V = 4849 cm^3
