Answer:
It is an acute triangle.
Step-by-step explanation:
It would be much easier for you to see where I'm getting at if you draw a diagram.
Assume this triangle is labelled ABC where a = 14, b = 21, and c = 16.
cos A = (16^2 + 21^2 - 14^2)/(2(16)(21))
∠A = cos^-1(0.82291...)
∠A ≅ 34.6°
cos B = 16^2 + 14^2 - 21^2)/(2(16)(14))
∠B = cos^-1(0.024...)
∠B ≅ 56.8°
∠C = 180 - (∠A + ∠B)
∠C ≅ 56.8°
Since there is no right-angle nor is there an obtuse angle,
Therefore the triangle is an acute triangle.
Answer:
1109.25
Step-by-step explanation:
21.75 x 51 = 1109.25
Answer:
12
Step-by-step explanation:
4(x-6)=24
4x-24=24
+24 +24
4x=48
x=12
Answer:
ST = 4
Step-by-step explanation:
If the pentagons are similar, the ratio between a pair of sides of one pentagon is the same ratio for the similar pair of sides of the second pentagon, so we have that:
XY / YZ = ST / TU
32 / 36 = (4c + 2) / (5c + 2)
8 / 9 = (4c + 2) / (5c + 2)
8*(5c + 2) = 9*(4c + 2)
40c + 16 = 36c + 18
4c = 2
c = 0.5
So the length of ST is:
ST = 4c + 2 = 4*0.5 + 2 = 4
There could be a one to all solution,One to one solution or no solution or all to one solution
