Question

Given LaTeX: \Delta Δ ABC with sides BC, CA, AB as 18, 24, 30 respectively BE is angle bisector of LaTeX: \angle ∠ B. Then Group of answer choices orthocentre ofLaTeX: \Delta Δ ABC is A None of these circum-centre of LaTeX: \Delta Δ ABC is at a distance 15 units from vertex C E divides AC in ratio 5 : 3 orthocentre of LaTeX: \Delta Δ ABC is C

Answer 1

Answer:

Given, Length of side AB(a)=

75

since, orthocentre, centroid, incentre and circumcentre are coincide in △ABC

∴ △ABC is an equilateral triangle

Now, length of the altitude

=

2

3

a=

2

3

×

75

=

2

15

units