Question

angle abc is inscribed in a circle with Centre O and radius 5 cm AC is a diameter of the circle if ab is equals to 8 cm find BC​

Answer 1

Answer:

The length of BC is 6 cm

Step-by-step explanation:

Given triangle ABC is inscribed in a circle with center O and radius 5 cm. AC is a diameter of the circle and AB is 8 cm. We have to find the length of BC.

As given radius i.e AO=OC=5cm

⇒ AC=AO+OC=5+5=10 cm

and AB=8 cm

∠ABC=90°  (∵Angle in semicircle)

⇒ ABC is right-angled triangle.

By applying Pythagoras theorem in ΔABC

$AC^2=AB^2+BC^2$

$10^2=8^2+BC^2$

⇒ $BC^2=36$

⇒ BC=6 cm

Hence, the length of BC is 6 cm