find the area of a right angled triangle whose hypotenuse is 10 cm and one of an acute angle is 30 degree
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