Question

in triangle pqr, angle p=30 , angle q=90 , angle r = 60 and pr= 14 cm then pq = ?​

Answer 1

since q is right angled so this is right angle triangle

so sin60=pr/14

=√3/2=pr/14

=pr=7√3

Answer 2

Given : in triangle pqr, angle p=30°, angle q=90° , angle r = 60°  

pr= 14 cm

To Find:  pq  

Solution:

∠q = 90°

Hence triangle pqr is right angled at  q

and side opposite to angle q  is  Hypotenuse

Hence pr  is hypotenuse = 14 cm

Cos p =  Side adjacent to angle p / hypotenuse

=> cos 30° = pq/pr

=> √3/2  = pq/14

=> pq = 7√3

length of  pq  is  7√3

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