Question

In triangle ABC angle ABC is 90 degree , AB = 14 cm and AC = 28 cm ; find the measures of angle ACB and angle CAB

Answer 1

Answer:

angle ACB = 30 degree

angle CAB = 60 degree

Step-by-step explanation:

Given

angle ABC = 90 degree

AC = 28 cm and AB = 14 cm

take angle CAB = x degree

take angle ACB = y degree

for angle CAB = cos x = AB/AC

cos x = 14/28

cos x = 1/2

cos 60 degree = 1/2

so x = 60 degree

and x + y + 90 = 180 (sum of interior angles of a triangle)

60 + y + 90 = 180

150 + y = 180

180 -150 = y

y = 30 degree