Q. 35.0( 1 Vote )

# Calculate the perimeter of the triangle shown below.

We know that sum of angles of a triangle is 180°.

A + B + C = 180°

30° + 105° + C = 180°

C = 180° - 135°

C = 45°

We know that the sine rule is = =.

In the triangle above, we have

c = 2 m;

a, b =?

Consider

a = √2 ≈ 1.41 m

Now consider = ,

b

= √3 + 1

b = √3 + 1 ≈ 1.73 + 1 = 2.73 m

We know that perimeter of a polygon is the sum of all its sides.

Perimeter = a + b + c

= 1.41 + 2.73 + 2

= 6.14 m

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz on Irrational Numbers31 mins
Converting Recurring Numbers in Rational Form48 mins
Introduction to Irrational Numbers50 mins
RD Sharma | Factorization of Algebraic Expression42 mins
Irrational numbers on Number line32 mins
Quiz | Irrational Numbers and its Operations45 mins
The Curious Case of Irrational Numbers43 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