Express the area of a 30 60 90 triangle as a function of the length h of the hypotenuse

Question

Mathematics

Carter Hall

24 February, 06:02

Express the area of a 30 60 90 triangle as a function of the length h of the hypotenuse

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Mayra Molina · Answer 1

In a 30-60-90 degree triangle, the ratio of the side lengths is 1:√3:2

if the hypotenuse is h, the legs are h/2 and h/√3 respectively

the area is (1/2) (h/2) (√3h/2) = √3h²/8