Find the area of the right triangle with hypotenuse 8cm and one of the acute angle is 57∘
Let △ABC is the right angle triangle, right angled at B & ∠C=57°
Now,
⇒sin57°=ABAC=AB8
⇒AB=8sin57°=8×0.8387
⇒AB=6.7096cm
Again,
⇒cos57°=BCAC=BC8
⇒BC=8×cos57°=8×0.5446
⇒BC=4.3568cm
Now, area △ABC=12×BC×AB
=12×4.3568×6.7096
=14.6161cm2
Hence, the answer is 14.6161cm2.