Fill in the blanks. in the 30-60-90 triangle below, side s has a length of and side q has a length of
a. 5, 5√3
b. 20√3,5
c. 10√3, 10√3
d. 5,√2, 5√2
e. 5, 10√3
f. 10√3,20
(picture below.)

A. 5, 5√3

Step-by-step explanation:

The property is that the lengths of the sides of a 30-60-90 triangle are in the ratio 1:2:√3.

Given: 2x = 10 [From the figure]

x = 10/2

x = 5.

Therefore, s =5 and q = √3x

q = 5√3

A. 5, 5√3

Hope this will helpful.

Thank you.

 The correct option is (A)  5, 5√3.

Step-by-step explanation:  We are given a 30-60-90 triangle, where the length of the hypotenuse is 10 units.

We are to find the length of sides s and q.

We have, using trigonometric ratios in the given right-angles triangle that

and

Therefore, s = 5 units  and  q = 5√3 units.

Thus, the complete statement is

In the given 30-60-90 triangle, side s has a length of 5 units and side q has a length of 5√3 units.