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
91 views
in Mensuration by (72.6k points)
closed by
Area of equilateral triangle and a regular hexagon is same, then find out the difference between the side of hexagon and triangle, if the side of equilateral triangle is 18 cm.
1. 15 - 4√6
2. 18 - 3√6
3. 16 - 4√2
4. 20 - 6√6

1 Answer

0 votes
by (121k points)
selected by
 
Best answer
Correct Answer - Option 2 : 18 - 3√6

Given :

Area of equilateral triangle is equal to the area of a regular hexagon 

Side of the equilateral triangle = 18 cm 

Formula used :

Area of equilateral triangle = (√3 × a2)/4  (where a is the side of the equilateral triangle)

Area of hexagon = (√3 × 3 × x2)/2 (where x is the side of hexagon)

Calculation :

Area of equilateral triangle = area of the hexagon 

(√3 × 182)/4 = (√3 × 3 × x2)/2

⇒ x = 3√6 

Difference of side of triangle and hexagon = 18 - 3√6

∴ The difference of sides of triangle and hexagon is 18 - 3√6 cm

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

...