a) The cosine rule can be used to find the value of x in the triangle below.

What number completes the following calculation? x² = 12² +152 - 2 x 12 x 15 x cos(?)

b) What is the value of x? Give your answer to the nearest integer.​

a The cosine rule can be used to find the value of x in the triangle below What number completes the following calculation x 12 152 2 x 12 x 15 x cos b What is class=

Respuesta :

Answer:

see explanation

Step-by-step explanation:

(a)

(the side required )² = sum of squares of other 2 sides - ( 2 × product of other 2 sides and cos(angle opposite side required ) )

x² = 12² + 15² - (2 × 12 × 15 × cos71°)

(b)

x² = 144 + 225 - 360cos71°

   = 369 - 360cos71° ( take square root of both sides )

x = [tex]\sqrt{369-360cos71}[/tex]

  ≈ 16 cm ( to the nearest integer )