The triangle inequality states that in a triangle, any two of the side lengths must add up to a length that is greater than the third. That is, if you have a triangle with sides a, b, and c, then a+b>c, a+c>b, and b+c>a.
In this case, we are given two lengths of a triangle. Let's call those two values a and b, where a>b.
Then we have that c
Now we can also use another inequality, a
Now we can apply these limits to all the individual questions.
1) 13 - 10 < c < 13 + 10. This simplifies down to 3 < c < 23
2) 12 - 5 < c < 12 + 5. This simplifies down to 7 < c < 17
3) 11 - 4 < c < 11 + 4. This simplifies down to 7 < c < 15
Hope it help!
The answer would be 3x^2 I think.
Answer:
19.05 ft
Step-by-step explanation:
-Given Hypotenuse=22 ft and the base length is 11 feet.
-We apply the Pythagorean theorem to find the height:

Hence, the stair's height is 19.05 ft
Hi there!
If the lines are parallel, Angles 1 and 2 would have to be congruent because they are corresponding angles. Therefore, to solve, all we need to do is set the values of the angles equal to each other because the angles are congruent.
WORK:
20 - 8x = 30 - 16x
-8x = 10 - 16x
8x = 10
x = 1.25
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Answer:
1
Step-by-step explanation: