When a perpendicular is dropped from the right-angle (C) to the opposite side AB, the metric relations apply:
BD*BA=a^2 ..........................(1)
AD*AB=b^2...........................(2)
BD*DA=DC^2........................(3)
Given AD=6, AB=24, using metric relation (2) above, we have
b^2=6*24=144
=>
b=sqrt(144)=12
By the way, we conclude that this is a 30-60-90 triangle because b/AB=(1/2)=sin(B) => B=30 degrees.
Answer: b=12
Answer:
x = 2
Step-by-step explanation:
8x + 5 = 3x + 15
8x - 3x + 5 = 3x - 3x + 15
5x + 5 = 15
5x + 5 - 5 = 15 - 5
5x = 10
5x / 5 = 10 / 5
x = 2
Answer:
C
Step-by-step explanation:
Just a guess, but the angle inside the triangle that's not x or y is the remaining angle after subtracting the 30 degrees shown. That makes the non labeled angle inside the triangle 150 degrees. since all triangles are 180 degrees, this means x and y add up to 30. They look roughly the same, so i'd guess they're both 15 degrees.
