Answer:
10 cm
Step-by-step explanation:
Let shorter leg = x
Hypotenuse = 2x
To find the length of the short leg it is 20/2 = 10
The shorter side is of measurement of 10 cm.
Given that:
The length of the hypotenuse = 20 cm.
The triangle has its angle as 30, 60 and 90 degrees.
Since the given triangle is a right angle, thus we can use trigonometric ratios.
Taking the 60 degree angle we will have:
[tex]sin(60) = \dfrac{Perpendicular}{Hypotenuse}\\\\\dfrac{\sqrt{3}}{2} = \dfrac{P}{20}\\\\P = 10\sqrt{3} \: \rm cm[/tex]
Similarly,
[tex]cos(60) = \dfrac{Base}{Hypotenuse}\\\\\dfrac{1}{2} = \dfrac{B}{20}\\\\B = 10 \: \rm cm[/tex]
Thus, the shorter side is base with the measurement of 10 cm.
Learn more about right angled triangles here:
https://brainly.com/question/7894175
