Question

the first triangle is an enlargement of the second.Calculate the size of the missing sides and angles​

Answer 1

Answer:

In ABC,   AB = 5cm, BC = 5√3cm,  AC = 10cm

In PQR,   PQ = 3cm,  PR = 5cm ,  QR = 4cm

Step-by-step explanation:

In triangle ABC,

  AB = 5cm ( opposite to 30 degree)

  BC = 5 X √3  [ to find the side opposite to 60 , multiply √3  with side   opposite to 30 degree]

  BC = 5√3cm

  AC = 5 x 2 [ to find the side opposite to 90, multiply 2 with side opposite to 30 degree]

  AC = 10cm

In triangle PQR,

  PQ = 3cm

  PR = 5cm

base² = hypotenuse² - altitude²

 QR² = PR² - PQ²

         = 5² - 3²

         = 25 - 9

         = 16

 QR   = √16

         = 4cm