saiaj saiaj
  • 22-12-2020
  • Mathematics
contestada

in the right ABC with C=90,A=75 and AB=12cm. Find the area of ABC

Respuesta :

mathstudent55
mathstudent55 mathstudent55
  • 22-12-2020

Answer:

18 cm^2

Step-by-step explanation:

The legs of a right triangle are the base and height of the triangle.

Since C is a right angle, AB is the hypotenuse.

AC and BC are the legs and the base and height.

sin 75 = BC/12

BC = 12 sin 75

cos 75 = AC/12

AC = 12 cos 75

area = bh/2 = (12 sin 75)(12 cos 75)/2

area = 18 cm^2

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