triangle prob help?

Question

The hypotenuse of right triangle is 3 ft. If one leg is 1 ft find the degree measure of each angle.

I need help and explaining for this, thanks

Answer 1

use the pythagoreon theorem...

it's a(squared)+b(squared)=c(squared)
where a and b are the legs of the triangle and c is the hypitenuse.
Note: The Pythag. Thm. only works for right triangles.

so, for your problem, substitute 1 in for a, and 3 in for c.
1*1+bb=3*3
Then solve.
1+bb=9
b(squared)=8
Take the square root of both sides.
b=(square root of 8)
b=2(square root of 2)

Answer 2

First, complete the triangle by using the Pythagoras theorem. a^2+b^2=c^2

Then use inverse trigonometric functions to find 2 angles of your choice. Subtract them from 180 to get the remaining angle.

Once you have all the length, arc cosine would probably be an easiest one to use.