Question

Point X is the circumcenter of ΔABC. What is the length of XB? 4.2 cm 4.6 cm 4.8 cm 5.3 cm

Answer 1

5.3 cm .

Note :- We will use some measurements only.

Given:-

• XN = 3.2 cm
• BN = 4.2 cm

To find :-

• Length of XB

In Triangle BNX :-

• XN is perpendicular to BN so it is right angled triangle.

So, by Pythagoras theorem:-

⟹ (XB)² = (XN)² + (BN)²

⟹ (XB)² = (3.2)² + (4.2)²

⟹ (XB)² = 10.24 + 17.64

⟹ (XB)² = 27.88

⟹ XB = √27.88

⟹ XB = 5.28 ≈ 5.3 cm

⟹ XB = 5.3 cm