Question

Using the technique in the model above, find the missing sides in this 30°-60°-90° right triangle.

Answer 1

Umm..... according to what I know       The ratio of the sides of a 30°-60°-90° triangle are:
short leg : long leg : hypotenuse
1 : √3 : 2
 if the short leg is 7, the long leg is √3 times that:
Answer:
7√3 ≈ 12.12 inches 

Answer 2

Answer:

Long $7\sqrt{3}$ Or 12,12

Hypotenuse 14

(Inch /cm.. we don’t have any info about units)

Step-by-step explanation:

As we have an 90ºangle we can use trigonometry.

To know the long side we use tangent because it involves the side we know and the one we want to know.

Tg & = opposite side/ adjacent side

Then opposite side = tg& adjacent side

To get the long side i need to use the wide angle as the opposite, and the short side as the adjacent side.

Long= tg 60º . 7 = $7\sqrt{3}$

To get the hypotenuse we can use

Cos&=adjacent/hypotenuse

Then hypotenuse=adjacent/cos&

Using the same angle

Hypotenuse = 7/cos60º = 14

(As we have both sides we colud have used Pitágoras instead)