In a right triangle one angle is 30 degrees and the leg opposite it has length 15. Find the lengths of other sides ( hypotenuse and adjacent)
Answers
Step-by-step explanation:
Since it is a right triangle, we have a 30–60–90 Right triangle.
The smallest side is opposite the smallest angle (30)
The adjacent side to (30) is opposite the (60) angle
The hypotenuse is the longest side
In general the pattern is 1, 2, √3 can be used for the sides (Remember √3 is less than 2)
We can use similar triangles to calculate with a proportion.
The 1 inch is proportional to √3 and the unknown hypotenuse (x) is proportional to 2.
So 1 over square root of 3 equals x over 2: 1/√3 = x/2 (Sorry this isn’t a very good view)
To solve the proportion cross multiply to get√3(x) =2
Divide by √3 on both sides and you get 2/√3 = x
This makes sense because 1 is less than √3 so the hypotenuse should be less than 2
I apologize if this answer’s mathematical representation is confusing - my computer has “issues.”