Find the area of a right triangle whose hypotenuse is 10cm and one of the acute
angle is 24°24'.please
ans me fast with steps
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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
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