prove that in 30-60-90 triangle the sides are in the ratio of 1 :2: √3
Answers
Answer:
Step-by-step explanation:
The side opposite the 30° angle is always the smallest, because 30 degrees is the smallest angle. The side opposite the 60° angle will be the middle length, because 60 degrees is the mid-sized degree angle in this triangle. And, finally, the side opposite the 90° angle will always be the largest side (the hypotenuse) because 90 degrees is the largest angle.
Though it may look similar to other types of right triangles, the reason a 30-60-90 triangle is so special is that you only need three pieces of information in order to find every other measurement. So long as you know the value of two angle measures and one side length (doesn't matter which side), you know everything you need to know about your triangle.
For example, we can use the 30-60-90 triangle formula to fill in all the remaining information blanks of the triangles below.
Answer:
(hypo)2=S1+S2
/3=1+2
《3=3》