<span>Using the Triangle Inequality Theorem
</span><span>The sum of two side lengths of a triangle is always greater than the third side
</span>
first one: 6, 22 , 10
6 + 22 > 10 : yes
22 + 10 > 6 : yes
6 + 10 > 22 : No because 16 < 22
These 3 lengths could NOT be lengths of sides of a triangle
second one: 8 , 15 , 22
8 + 15 > 22 : yes
15 + 22 > 8 : yes
8 + 22 > 15 : yes
These 3 lengths could be lengths of sides of a triangle
Answer:
Second option
8 cm, 15 cm, 22 cm
Nine-tenths (9/10) of a foot of rain would be collected in one day.
Answer:
54.8
Step-by-step explanation:
Pythagorean theorem is a^2+b^2=c^2.
Plug the given values in to get 61^2+b^2=82^2
61^2 is 3,721 and 82^2 is 6,724.
6,724-3,721 is 3,003.
The square root of 3,003, rounded to a reasonable value, is 54.8.
The length of AC is 54.8.
