Answer:
Aziza’s claim is incomplete. The third side must be between 4 in. and 26 in.
Step-by-step explanation:
With the Triangle Inequality Theorem, saying that the sum of lengths of any two sides of a triangle is greater than the length of the third side. With this we can develop two inequalities:
11 + 15 > x
26 > x
rewrite this as x < 26
11 + x > 15
x > 15 - 11 Subtract 11 from both sides
x > 4
Therefore, the third side can be anywhere greater than 4 inches and less than and less than 26 inches.
4 < x < 26
Answer:x = 12,5
using thales's theorem, we have:
Step-by-step explanation:
Answer:
x = 3, -1/2
Step-by-step explanation:
Use the quadratic formula: x = [-b ± √b² - 4ac]/2a
The square root sign should be over the entire expression b² - 4ac
In this problem, a = -6, b = 15, and c = 9
So, putting in those values, we get x = -15 ± √225+216, all divided by -12
Simplifying further, we get -15 ± 21 all divided by -12, or -36/-12 = 3 OR
6/-12 = -1/2
The square route of 20 is4.472135955