Question

The ratio of the lengths of the two legs of a right triangle is 3:4

Answer 1

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Check Attachment!!!

According to the statement of the question, we have:

a/b = 3/4

Note that according to the attached figure, b > a, then the correct proportion will be a to 3, as well as b to 4, because b > a and 4 > 3

Isolating a and b:

a = 3b/4

b = 4a/3

From Pythagoras:

h² = a² + b² - as a = 3b/4 and b = 4a/3, so

b = 4h/5

a = 6h/5

For Area:

A = b.a/2

as b = 4h/5 and a = 6h/5, so

A = 12h/25