Question

Analyze the diagram below and complete the instructions that follow.

а
60°
b.
45°
8
Find a, b, and c.

Answer 1

C

Explanation:

The base angles are congruent, both 60°, thus the triangle is isosceles and x is a perpendicular bisector ( divides the base into 6 and 6 )

Using the tangent ratio in the right triangle on the left and exact value

tan60° =
`√(3)` , then

tan60° =
`(opposite)/(adjacent)` =
`(x)/(6)` ( multiply both sides by 6 )

6 × tan60° = x , that is

x = 6
`√(3)`

Using the cosine ratio in the same right triangle and exact value

cos60 =
`(1)/(2)` , then

cos60° =
`(adjacent)/(hypotenuse)` =
`(6)/(y)` ( multiply both sides by y )

y × cos60° = 6 , that is

y ×
`(1)/(2)` = 6 ( multiply both sides by 2 )

y = 12

Answer 2

c:x=6√3,y=12

Explanation:

the shape