Question
Hi! I am super confused with this question and really need help.
In a right triangle with a leg of 4 and a hypotenuse of 8, find the measures of all angles.
a. 27 degrees, 63 degrees, 90 degrees
b. 30 degrees, 60 degrees, 90 degrees
c. 40 degrees, 50 degrees, 90 degrees
d. 45 degrees, 45 degrees, 90 degrees
In a right triangle with a leg of 4 and a hypotenuse of 8, find the measures of all angles.
a. 27 degrees, 63 degrees, 90 degrees
b. 30 degrees, 60 degrees, 90 degrees
c. 40 degrees, 50 degrees, 90 degrees
d. 45 degrees, 45 degrees, 90 degrees
Answers
Henry
a = 4, b = ?, c = 8.
a^2 + b^2 = c^2.
4^2 + b^2 = 8^2,
b = 6.93.
Cos B = a/c = 4/8 = 0.50.
B = 60o.
A + B = 90o
A + 60 = 90,
A = 30o.
C = 90o.
So A = 30o, B = 60o, and C = 90o.
a^2 + b^2 = c^2.
4^2 + b^2 = 8^2,
b = 6.93.
Cos B = a/c = 4/8 = 0.50.
B = 60o.
A + B = 90o
A + 60 = 90,
A = 30o.
C = 90o.
So A = 30o, B = 60o, and C = 90o.