Respuesta :
Answer:
Triangles BDE and BAC, in which angle B is a right angle, point D is between points B and A, and point E is between points B and C; BD measures 2 units, BE measures 3 units, and DE measures 3 and 61 hundredths units.
2/3.61 = 4/7.22
3/2 = 6/4
3/3.61 = 6/7.22
2/3 = 4/6
The proportion 4/7.21 and 2/3.61 proves that the Cos∠A = Cos∠D if the triangle BAC was dilated from triangle BOE at a scale factor of 2
What is a right-angle triangle?
It is defined as a triangle in which one angle is 90 degrees and the other two angles are acute angles. In a right-angled triangle, the name of the sides is the hypotenuse, perpendicular, and base.
Triangle BAC was dilated from triangle BOE at a scale factor of 2
It means if the length of BD = 2 units then
Length of the AB = 2BD = 2(2) = 4 units
We know the cos is the ratio of the adjacent to the hypotenuse.
Cos∠A = AB/AC = 4/7.21
Cos∠D = BD/DE = 2/3.61
Cos∠A = Cos∠D
[tex]\frac{4}{7.21} = \frac{2}{3.61}[/tex]
0.55 = 0.55
Thus, the proportion 4/7.21 and 2/3.61 proves that the Cos∠A = Cos∠D if the triangle BAC was dilated from triangle BOE at a scale factor of 2
Learn more about the right angle triangle here:
brainly.com/question/3770177
#SPJ2
