Question

in ∆PQR, angle P = 30°, angle R = 90° and PQ = 10. find PR and QR​

Answer 1

Answer:

Step-by-step explanation:

in triangle PQR , ∠P = 30°  ,∠R = 90° ......................given

RQ = 1/2 × PQ........................................side opposite to 30° is half of the hypotenuse

∴ RQ = 1/2 × 10

RQ = 5

IN TRIANGLE PQR ,

∠P + ∠Q +∠R = 180°......................angle sum property of a triangle

∴30 + 90 + ∠Q = 180

120 + ∠Q = 180

∠Q           = 180 - 120

∠Q           = 60°

∴ PR  = √3/2 × PQ ......................side opp to 60 is √3/2 of the hypotenuse

  PR =  √3/2 × 10

  PR = 5√3

PLS MARK ME AS BRAINLIEST