Please wait...
Contact Us
Contact
Need assistance? Contact us on below numbers

For Study plan details

10:00 AM to 7:00 PM IST all days.

For Franchisee Enquiry

OR

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this number

9372462318 / 9987178554

Mon to Sat - 10 AM to 7 PM

QID : 67 ­ The perimeters of a square and an equilateral triangle are equal. If the diagonal of the square is 9 cm, what is the area of the equilateral triangle?

Asked by aryap7964 6th December 2017, 4:40 PM
Answered by Expert
Answer:
begin mathsize 16px style Let space the space side space of space straight a space square space be space straight a space and space side space of space an space equilateral space triangle space be space straight s.
Now comma space diagonal space of space straight a space square equals 9 space cm
rightwards double arrow square root of 2 cross times side space of space straight a space square equals 9
rightwards double arrow square root of 2 straight a equals 9
rightwards double arrow straight a equals fraction numerator 9 over denominator square root of 2 end fraction
Now comma space perimeter space of space straight a space square equals perimeter space of space straight a space rectangle
rightwards double arrow 4 straight a equals 3 straight s
rightwards double arrow straight a equals 3 over 4 straight s
rightwards double arrow 3 over 4 straight s equals fraction numerator 9 over denominator square root of 2 end fraction
rightwards double arrow straight s equals fraction numerator 9 cross times 4 over denominator 3 cross times square root of 2 end fraction equals 3 cross times 2 cross times square root of 2 equals 6 square root of 2
Thus comma space area space of space an space equilateral space triangle equals fraction numerator square root of 3 over denominator 4 end fraction cross times straight s squared equals fraction numerator square root of 3 over denominator 4 end fraction cross times open parentheses 6 square root of 2 close parentheses squared equals fraction numerator square root of 3 over denominator 4 end fraction cross times 72 equals 18 square root of 3 space sq. space cm end style
Answered by Expert 8th December 2017, 10:07 AM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Your answer has been posted successfully!

Free related questions

Chat with us on WhatsApp