Step-by-step explanation:
What you are dealing with is what we call special right triangles. There are two types of right triangles.
30-60-90 triangle- A special
right triangle with side length ratio as
, where a is any positve number
45-45-90- a special right triangle which side length ratios are
where a is any positve number.
45 45 90 triangles is indicated by two congruent side measures( if the legs are congruent and it has a right angle, it is a 45-45-90.
30-60-90 triangles is indicated by a having at least two of the following angles given (30,60, and 90).
Shortcuts:
For a 45 45 triangle,
the legs are equal while the hypotenuse is the sqr root of 2 times than the legs.
Example, look at 1. The legs side length is 12 so our hypotenuse side length will be
For a 30-60-90 triangle, the side that is adjacent to the 30 and 90 degree measure sqr root of 3 times more than the horizontal leg.
the slanted side or the side which is adjacent to the 30 and 60 degree angle is twice the length of the horizontal leg or the side that is adjacent to the 60 and 90 degree.
Example, look at 3. We need to find x but we are given the horizontal side so just multiply sqr root of 3 to 12.
2.Both equal
4. a=13