Answer
$0.87 \ m$ and $0.5 \ m$
Work Step by Step
Here, we are given that the triangle is $30^{\circ}-60^{\circ}-90^{\circ}$.
Hypotenuse ; h=$1 \ m$
Now, the longer length is equal to: $L=\dfrac{1}{2} \times h\times \sqrt 3=\dfrac{1}{2}(\sqrt 3)(1)=0.87 \ m$
and the shorter length is equal to: $l=\dfrac{1}{2} \times h=\dfrac{1}{2}(1)=0.5 \ m$