Question

gle, then the triangles are uent. 60° A B P T58 Compute the remaining angles of both triangle (4) С 8 cm 6 cm A 199 019 Sulev ta В 8 cm 6 cm D Are the angles of AABC and AABD equal in the figure above? why? (5) In the quadrilateral ARCO​

Answer 1

Step-by-step explanation:

Using Pythagoras theorem, In a Rightangled triangle AOC we have

AO

2

+OC

2

=AC

2

⇒y

2

+x

2

=3

2

∴y

2

=9−x

2

Using Pythagoras theorem, In a Rightangled triangle AOB we have

AO

2

+OB

2

=AB

2

⇒y

2

+(x+6)

2

=8

2

⇒9−x

2

+x

2

+12x+36=64

⇒12x+45=64

⇒12x=64−45=19

⇒x=

12

19

=1.58cm

Hence OC=1.58cm