An equilateral triangle with sides 10 inches ,is inscribed in a square ABCD in such a way that one vertex is at A ,another vertex on BC and one on CD . Find the area of square??

Question

Aditya Gupta · Answer

thanks for asking. well, first of all draw a figure and name the equilateral triangle as AEF, such that E lies on BC and F on CD. now let angle EAB= y then obviously angle FAD= 30 – y (because angle EAF=60 and angle BAD=90) now AB=AD so, 10cosy=10cos(30 – y) or y=30-y or y=15 so area of square is (10cosy)^2=100cos^2y=50(1+cos2y)=50(1+root3/2) = 25(2+root3) sq units

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

Guest

An equilateral triangle with sides 10 inches ,is inscribed in a square ABCD in such a way that one vertex is at A ,another vertex on BC and one on CD . Find the area of square??

An equilateral triangle with sides 10 inches ,is inscribed in a square ABCD in such a way that one vertex is at A ,another vertex on BC and one on CD . Find the area of square??

1 Answers

Think You Can Provide A Better Answer ?

Other Related Questions on Analytical Geometry

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship

Thank you for registering.

Register Now and Win Upto 25% Scholorship for a Full Academic Year !

Enter Your Details

Registration done!

Guest

IIT JEE Courses

One Year IIT Programme

Two Year IIT Programme

Crash Course

NEET Courses

One Year NEET Programme

Two Year NEET Programme

One to One

School Board

Live Online classes

Class 11 & 12

Class 9 & 10

Class 6, 7 & 8

Test Series

JEE test series

NEET test series

C.B.S.E test series

Complete Self Study Packages

FULL COURSE

For class 12th

For class 11th

An equilateral triangle with sides 10 inches ,is inscribed in a square ABCD in such a way that one vertex is at A ,another vertex on BC and one on CD . Find the area of square??

An equilateral triangle with sides 10 inches ,is inscribed in a square ABCD in such a way that one vertex is at A ,another vertex on BC and one on CD . Find the area of square??

1 Answers

Think You Can Provide A Better Answer ?

Other Related Questions on Analytical Geometry

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Complete Self Study Package designed by Industry Leading Experts

Live 1-1 coding classes to unleash the Creator in your Child

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Register Now & Win Upto 25% Scholorship