Let a = longest side <em> (Establishing labels)</em>
let b = shortest side
let c = third side
P = 14.5 <em> (Given)</em>
a = 6.2
b = 1/2(a)
P = a + b + c
P = 6.2 + 3.1 + c <em>(Fill in given info in equation)</em>
P = 9.3 + c <em>(Simplify)</em>
14.5 = 9.3 + c <em>(Simplify)</em>
c = 14.5 - 9.3 <em>(Solve)</em>
c = 5.2
Hope this made sense!
★ QUADRATIC RESOLUTION ★
Roots of the given equation will be imaginary because it's discriminant is less than 0 and hence it'll yield imaginary solutions
D < 0
b² - 4ac < 0
4² - 4 ( 5 ) < 0
16 - 20 < 0
-4 < 0
Hence it's character is stated above
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Answer:
∠ B ≈ 66.42°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos B =
=
=
, thus
B =
(
) ≈ 66.42° ( to the nearest hundredth )
Answer:
B) 105.20
Step-by-step explanation:
491.60 + 157.68 - 68.44 = 581.20