Answer:
∠ p ≈ 59°
Step-by-step explanation:
Using Pythagoras' identity in right triangle ABD to find DB
DB² = 5² + 6² = 25 + 36 = 61 ( take square root of both sides )
DB = 
---------------------------------------
Using the cosine ratio in right triangle DBC
cos p =
=
=
, thus
p =
(
) ≈ 59°
The sides must be long enough to make a triangle. (If the sides are not long enough, they won't meet, so cannot form a triangle.)
_____
If your version of the triangle inequality includes the "or equal to" case, then the segments must be long enough to meet, even though the result may look like a line segment.
Answer:
16
Step-by-step explanation:
basic addition
Answer:
−9
2
+
1
2
+
13
2
?
=
−1
2
(8+13)
2.5≠−10.5
False
Step-by-step explanation: