Question

In triangle ABC, AB=8 cm, AC=6 cm and angle between them is 35°. In triangle XYZ, XZ=8 cm, YZ=6 cm and angle between them is 35°. What are the pairs of equal

Answer 1

AO² + OC²=AC²

⇒y²+x²=3²

∴y² =9−x²

AO²+OB²=AB²

⇒y²+(x+6)²=8²

⇒9−x² +x²+12x+36=64

⇒12x+45=64

⇒12x=64−45=19

⇒x= 19/12 =1.58cm

OC=1.58cm