Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the 2 given angles from 180 for B
B = 180° - (90 + 39)° = 180° - 129° = 51°
Using the tangent and sine ratios in the right triangle for b and c
tan39° =
= 
Multiply both sides by b
b × tan39° = 27 ( divide both sides by tan39° )
b =
≈ 7.5 ( to the nearest tenth )
sin39° =
= 
Multiply both sides by c
c × sin39° = 27 ( divide both sides by sin39° )
c =
≈ 28.0 ( to the nearest tenth )
Please attach a picture or the question itself
The numerator represents a number of equal parts, and the denominator is how many of those equal parts make up a whole.
Answer:
b = sqrt(57)
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
8^2 + b^2 = 11^2
64+ b^2 = 121
Subtract 64
b^2 = 121-64
b^2 =57
Take the square root of each side
b = sqrt(57)