Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
100 views
in Aptitude by (113k points)
closed by
In an equilateral triangle, find out the ratio of its inradius, altitude and circumradius.
1. 1 ∶ 2 ∶ 3
2. 1 ∶ 3 ∶ 2
3. 1 ∶ 3 ∶ 5
4. 1 ∶ 2 ∶ 5

1 Answer

0 votes
by (115k points)
selected by
 
Best answer
Correct Answer - Option 2 : 1 ∶ 3 ∶ 2

Given

An equilateral triangle.

Formula Used

Attitude of an equilateral triangle.

Inradius of the equilateral triangle.

Circumradius of the equilateral triangle.

Calculation∶ 

Altitude of an equilateral triangle = √3a/2

In radius of an equilateral triangle = a/2√3 

Circumradius of an equilateral triangle = a/√ 3

So, the given ratio is a/2√3 ∶  √3a/2 ∶ a/√ 3

⇒ 1 ∶ 3 ∶ 2

∴ The required ratio is 1 ∶ 3 ∶ 2.

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...