If the hypotenuse of a 30°-60°-90° Triangle is 10√2, find the length of the other two sides.

Let us consider a 30°-60°-90°△ABC right angled at B in which ∠C = 30⁰ and ∠A = 60⁰ with hypotenuse AC = 10√2 units.

In △ABC,

sin ∠C =

sin ∠C =

sin 30⁰ =

In △ABC,

cos ∠C =

cos ∠C =

cos 30⁰ =

Thus , the length of other two sides of triangles are 5√2 and 5√6 units.

60%

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