Respuesta :

asuwafohjames

The lengths of the missing sides in the diagram (1) and diagram (2)  are m = √2,  n = (√6)/3, x = 7√2, y = 7 respectively.

What is length?

Length can be defined as the distance between two points.

(1) To calculate the length in the diagram (1), we use the formula below.

  • cos60° = n/[(2√6)/3]

make m the subject of the equation

  • n = cos60°×(2√6)/3
  • n = (1/2)×(2√6)/3
  • n = (√6)/3

Also,

  • sin60° = m/[(2√6)/3]
  • m = sin60°×[(2√6)/3]
  • m = [(√3)/2]×[(2√6)/3]
  • m = √2

To calculate the lengths of the missing sides in diagram 2, we use the formula below.

  • tan45° = y/7
  • y = tan45×7
  • y = tan45×7
  • y = 7

Also,

  • cos45° = 7/x
  • x = 7/cos45°
  • x = 7/(1/√2)
  • x = 7√2

Hence, the lengths of the missing sides in the diagram (1) and diagram (2)  are m = √2,  n = (√6)/3, x = 7√2, y = 7 respectively.

Learn more about lengths here: https://brainly.com/question/2217700

#SPJ1

Otras preguntas