Question

find the area of a right angle whose hypotenuse is 10 cm and one of the acute angle is 24 degree 24 minute​

Answer 1

Answer:

18.6 cm²

Step-by-step explanation:

Given in the question,

hypotenuse of triangle = 10cm

Since it is a right angle triangle so we can apply trigonometry identities

Area of triangle = 1/2 height x base

       

To find height

sinФ =height / hypotenuse  

sin24 = height / 10

height = 4.07 cm

To find base

cosФ =base / hypotenuse  

cos24 = base / 10cm

base = 9.135 cm

area  of the triangle = 1/2 (4.07)(9.135)

                                 = 18.6 cm²