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

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