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9514 1404 393
Answer:
perimeter ≈ 12.4 units
Step-by-step explanation:
The side adjacent to the angle is given. The relationships useful for the other two sides are ...
Tan = Opposite/Adjacent
Cos = Adjacent/Hypotenuse
From these, we have ...
opposite = 5·tan(22°) ≈ 2.02
hypotenuse = 5/cos(22°) ≈ 5.39
Then the perimeter is ...
P = a + b + c = 2.02 + 5 + 5.39 = 12.41
The perimeter of ∆ABC is about 12.4 units.
Answer: The area of the triangle is: " 8.5 cm² " ;
or, write as: " 8
cm² " .
_______________________________________________________
Explanation:
_________________________________________________________
The formula {"equation"} for the area of a triangle is:
A = () * b * h ;
in which: A = area;
b = base;
h = [perpendicular] height;
___________________________________
{also, can be written as: " A = (b * h) / 2 " .}.
______________________________________
Solve for the area, "A" ; by plugging in the known values shown in the figure (image attached):
______________________________________
base, "b" = 13 cm ;
[perpendicular] height, "h" = 5 cm ;
______________________________________
A = (b * h) / 2 ;
= (13 cm * 5 cm) / 2 ;
= [ (13 * 5) cm²] / 2 ;
= 65 cm² / 2 ;
A = " 8.5 cm² " ; or, write as: " 8 cm² " .
_________________________________________________________
Answer: " 8.5 cm² " ; or, write as: " 8 cm² " .
_________________________________________________________
The area of the triangle is: " 8.5 cm² " ;
or, write as: " 8 cm² " .
_________________________________________________________
or, write as: " 8
_______________________________________________________
Explanation:
_________________________________________________________
The formula {"equation"} for the area of a triangle is:
A = (
in which: A = area;
b = base;
h = [perpendicular] height;
___________________________________
{also, can be written as: " A = (b * h) / 2 " .}.
______________________________________
Solve for the area, "A" ; by plugging in the known values shown in the figure (image attached):
______________________________________
base, "b" = 13 cm ;
[perpendicular] height, "h" = 5 cm ;
______________________________________
A = (b * h) / 2 ;
= (13 cm * 5 cm) / 2 ;
= [ (13 * 5) cm²] / 2 ;
= 65 cm² / 2 ;
A = " 8.5 cm² " ; or, write as: " 8
_________________________________________________________
Answer: " 8.5 cm² " ; or, write as: " 8
_________________________________________________________
The area of the triangle is: " 8.5 cm² " ;
or, write as: " 8
_________________________________________________________