Question

Please solve this question as fast as possible!!
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.​

Answer 1

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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