Triangle & Circle

Q1. In the above figure triangle ABC is inscribed in a circle with center at E AE when produced meets BC at point D.  If angle ABE is 30 degree and AEC is 140 degree, find BEC.

a. 120
b. 110
c. 100
d. 90

Q2. SanX in a right angle triangle is defined as

SanX = Hypotenuse / (Sum of the other two sides of the triangle)

In the below right triangle DEF, angle D is 30°, and side DF is 3 inches.   What is SanX?
 

a. 2sqrt(3)/ [ 3 + sqrt(3) ]
b. [ 3 + sqrt(3) ] /2sqrt(3)
c. 3sqrt(2)/ [ 3 + sqrt(2) ]
d. None of the above

  Triangle & Cirle

 

Triangle & Cirle

 

Q-1

 

here angle AEB=120 & EAC=20 & ECA=20 & now total 360 so angle BEC=100

Little Star

 

__________________

n/a

  Q-2   here tan30=(d/3)

 

Q-2

 

here tan30=(d/3) so d=sqrt3, sin30=(sqrt3/f) so f=2sqrt3

 

so ans is 2sqrt3/(3+sqrt3)

Little Star

__________________

n/a

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