Find the distance of point A from the circumcenter of a right angle tr

1.	Find the distance of point A from the circumcenter of a right angle triangle ABC with side AB = 20 cm, BC = 15 cm and ∠ABC = 90°. 1. 252. 103. 7.54. 12.5
Answer» Correct Answer - Option 4 : 12.5 Given: In triangle ABC, AB = 20 cm, BC = 15 cm Concept Used: The circumcentre of a right angle triangle lies on the mid-point of the hypotenuse. Formula Used: Pythagoras theorem - In a Right angle triangle, Hypotenuse² = Perpendicular² + Base² Calculation: In ΔABC, AC² = AB² + BC² ⇒ AC² = 20² + 15² ⇒ AC² = 625 ⇒ AC = 25 cm The distance of point A from the circumcentre = Circumradius of the triangle = 25/2 = 12.5 cm ∴ The distance of point A from the circumcentre is 12.5 cm

Find the distance of point A from the circumcenter of a right angle triangle ABC with side AB = 20 cm, BC = 15 cm and ∠ABC = 90°. 1. 252. 103. 7.54. 12.5

Answer» Correct Answer - Option 4 : 12.5

Given:

In triangle ABC, AB = 20 cm, BC = 15 cm

Concept Used:

The circumcentre of a right angle triangle lies on the mid-point of the hypotenuse.

Formula Used:

Pythagoras theorem - In a Right angle triangle,

Hypotenuse² = Perpendicular² + Base²

Calculation:

In ΔABC,

AC² = AB² + BC²

⇒ AC² = 20² + 15²

⇒ AC² = 625

⇒ AC = 25 cm

The distance of point A from the circumcentre = Circumradius of the triangle = 25/2 = 12.5 cm

∴ The distance of point A from the circumcentre is 12.5 cm