Answer:
∠Q = 53.13 degrees
Step-by-step explanation:
Given that ∆PQR, ∠P = 90degrees , this means that the triangle is a right angled triangle
Hence using the notation
SOH CAH TOA
where S is sine, C is cosine, T is tangent and O, A and H represents the size of the opposite, adjacent and hypotenuse sides
Considering ∠Q and the given sides
PR=16cm is the opposite side,
PQ= 12 cm is the adjacent side hence we use TOA
Tan Q = 16/12 =
Q = Arc tan 16/12
= 53.13 degrees
Answer:
What is the question?
Step-by-step explanation:
I cannot see an attachment.
OK, a triangle first of all needs to have a certain condition satisfied. The length of one side of a triangle can not equal the length of 2 sides combined. So in a triangle a + b = c, a + b can not be less than c (a + b <span>≮ c</span>). Therefore, there are only a few possibilities that will work here. Let's find them:
16, 19, 43; no
16, 19, 50; no
16, 43, 50; yes
19, 43, 50; yes
Since only 2 out of 4 form triangles, there is a 50% chance you'll pick the right segments to form a triangle.
The distance between the points is 10.4
