Special Right Triangles
Lesson · Beginner
Geometry: Plane Geometry
30-60-90 Triangle
Sides are
45-45-90 Triangle
Sides are
In a right triangle, one acute angle is 30°. The altitude from the right angle to the hypotenuse has length 6√3. Find the hypotenuse.
In triangle ABD,
In triangle ACD,
So
In triangle ABC,
Let
Find AC and BC in terms of x.
Draw altitude AD
Triangle ABD is a 30-60-90 triangle, so
Triangle ACD is a 45-45-90 triangle, so
Hence