Question

If one of the legs of a right triangle is 4 in and the hypotenuse is 8 in, find the length of the other leg (use a calculator if necessary). Can you guess the measures of the acute angles? IF CORRECT WILL GET BRAINLEST THX

Answer 1

If you want to find the length of other leg (AB) you can use Pythagoras
$\sqrt{8 {}^{2} - 4^{2} } \\ = \sqrt{64 - 16} \\ = \sqrt{48} \\ = 4 \sqrt{3}$
So, the length of other leg is 4√3 cm.
The acute angles are <B and <C (look at my drawing)
sin <B = 8/4= 1/2
<B = 30°
<C = 180°-(30+90)
= 60°
Hope this help!