What is the length of the diagonal of the rectangle? Round to two decimal places
A. 7.61
B. 16.31
C. 19.86
D. 38.60

What is the length of the diagonal of the rectangle Round to two decimal places A 761 B 1631 C 1986 D 3860 class=

Respuesta :

Answer:

Option C

Step-by-step explanation:

By the property of a rectangle,

"All interior angles of a rectangle measure 90°"

Therefore, m∠ABC = 90°

By applying cosine rule in the right triangle ABC,

cos(∠CAB) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

cos(25°) = [tex]\frac{AB}{AC}[/tex]

AC = [tex]\frac{AB}{\text{cos}(25)}[/tex]

AC = [tex]\frac{18}{\text{cos}(25)}[/tex]

AC = 19.86

Therefore, Option C will be the answer.

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