Triangle questions account for less than 10% of all SAT math questions. That being said, you still want to get those questions right, so you should be prepared to know every kind of triangle: right triangles, isosceles triangles, isosceles right triangles—the SAT could test you on any one of them.
The incenter is the center of the triangle's incircle, the largest circle that will fit inside the triangle and touch all three sides. See Incircle of a Triangle. Always inside the triangle: The triangle's incenter is always inside the triangle. Adjust the triangle above by dragging any vertex and see that it will never go outside the triangle
If the side opposite the given angle is shorter than the other given side, but longer than in case (2), then < 1, and two triangles are determined, one in which A = x o, and one in which A = 180 o - x o. If the side opposite the given angle is equal in length to the other given side, then A = B, and one isosceles triangle is determined.
a2= b2+ c2– 2bccos A b2= a2+ c– 2accos B c2= a2+ b2– 2abcos C. Summarize and discuss the cosine law: the square of one side equals the sum of the squares of the other two sides less twice the product of the other two sides and the cosine of the angle between these two sides.
The angle opposite side a is A, the angle opposite side b is B, and the angle opposite side c is C. If it is a right triangle, C will be right so c will be the [length of the] hypotenuse. Given the right triangle ABC with height h (CD) to the hypotenuse, h= (xy), whereas a= (cx), and b= (cy).
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Isosceles triangle angles - Median Don Steward Angles practice makes perfect - Median Don Steward Angle facts questions ( answers & supporting material ) - @taylorda01