Q. 85.0( 4 Votes )

In AABC, hypotenuse AC = 12 cm and A = 60°, then find the length of remaining sides.

Answer :

Drawing the triangle for better reference of the problem.

Here we are actually sure that B is the 90 degrees angle as the ends of the hypotenuse can never have 90 degrees.

Also, when the ends are produced backwards (where angle A is produced backwards at an angle of 60 degrees) they seem to form a 90 degree angle.

The remaining sides length can be figured out by simple trigonometry,


or, AB = 6cm.

Now, using

or, BC=

= 6√3 cm.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Heights and Distances33 mins
Quiz | Imp. Qs. on Heights and Distances37 mins
Trick to learn all Trigonometric Formulae28 mins
Champ Quiz | Trigger on Trigonometry47 mins
Fundas of Trigonometry50 mins
Champ Quiz | Trigonometry Important Questions33 mins
NCERT | Trigonometric Identities52 mins
Basic Concept of Trigonometry43 mins
Champ Quiz | NTSE Trigonometry50 mins
Testing the T- Ratios of Specified Angles57 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses