Question

# If in the below triangle ∠B = 60o, which type of triangle is it?

A
Isosceles Triangle
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
Equilateral Triangle
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
Scalene Triangle
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Right-angled Triangle
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

## The correct option is B Equilateral Triangle According to question, BO is perpendicular to AC and AO = OC ∵ BO is cutting the base into half and is also perpendicular to it ∴ BO is acting both as an altitude and median. An altitude acts as a median only in an Equilateral or Isosceles triangle with AB and BC being equal in length. For the triangle ABC, Sum of all angles = 180o Or, ∠A + ∠B + ∠C = 180o Or, ∠A + ∠C + 60o = 180 Or, 2∠A = 180o - 60o (∵ angles opposite to equal sides are equal) Or, ∠A = 120o2 = 60o ∵ ∠A = ∠B = ∠C = 60o ∴ The above triangle is an Equilateral triangle

Suggest Corrections
2
Join BYJU'S Learning Program
Related Videos
Angle Sum Property of Triangle
MATHEMATICS
Watch in App
Join BYJU'S Learning Program