Question

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

Short = 7

Long = ?





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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

Long
`7√(3)` Or 12,12

Hypotenuse 14

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

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√(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)