in a right triangle hypotenuse is 10 cm long and acute angles is 30 degree . What is the length of the side opposite to the angle
Answers
Answer:
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
Answer:
Answer is 5cm
Step-by-step explanation:
Hypotenuse long = 10cm
Angle ACB = 30 degree
The length of the side opposite to this angle = ?
By using trigonometric ratios
SIN 30 degree = AB /AC
( Sin 30 degree = 1/2 )
1 / 2 =AB /10 ---- 1
10/2 =AB
By cross multiplying eq ----- 1
5 =AB