Answer:
Hypotenuse = 10.4cm
Leg = 6.7cm
Step-by-step explanation:
Let x represent the unknown leg of the triangle.
To be able to find x, we have to take the tangent of angle 40 degrees as shown below;
![\begin{gathered} \tan 40=(x)/(8) \\ 8\tan 40=x \\ x=6.7\operatorname{cm} \end{gathered}]()
Let y represent the length of the hypotenuse.
To find y, we have to take the cosine of angle 40 degrees;
![\begin{gathered} \cos 40=(8)/(y) \\ y\cos 40=8 \\ y=(8)/(\cos 40) \\ y=10.4\operatorname{cm} \end{gathered}]()