Question

question 5 of 10
in the 30 - 60 - 90 triangle below, side s has a length of __ and the hypotenuse has a length of __.
a. 1; $\sqrt{2}$
b. $\sqrt{2}$; 2
c. 2; 1.4
d. 1; 1.7
e. 1; $\sqrt{3}$
f. $\sqrt{3}$; 2

Explanation:

Step1: Identify 30-60-90 ratios

In 30-60-90 triangles, sides are in ratio \(1 : \sqrt{3} : 2\) (opposite 30°, 60°, hypotenuse).

Step2: Determine opposite sides

Side opposite 30° is given as 1 (x=1). Side s (opposite 60°) = \(x\sqrt{3} = \sqrt{3}\). Hypotenuse = \(2x = 2\).

Answer:

F. √3; 2