Find the area of the right triangle with the length of the hypotenuse is 7cm and the measure of one angle is 22.5° . Solve this task without using Trigonometry.
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Given : length of the hypotenuse is 7cm and the measure of one angle is 22.5°
To Find : area of triangle
Solution:
Area of right angle triangle
= (1/4) hypotenuse² * sin ( 2 α)
= (1/4) 7² * sin 2(22.5°)
= (1/4) * 49 * sin 45°
= 49/4√2
= 8.66 cm²
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