Question

In triangle abc with C =90 degrees ,find a given a = 60 degrees & c =48

Answer 1

Answer:

right triangle

Δ

A

B

C

,

∠

C

=

90

0

,

a

=

2

,

c

=

6

;

c

is

the side opposite to the right angle, so it is hypotenuse,

a

and

b

are the adjacent sides of the right angle .

We know in right triangle

Δ

A

B

C

,

a

2

+

b

2

=

c

2

∴

2

2

+

b

2

=

6

2

or

b

2

=

36

−

4

=

32

∴

b

=

√

32

or

b

=

4

√

2

unit. The side

b

is

4

√

2