Respuesta :

sqdancefan

Answer:

  35 inches

Step-by-step explanation:

The right angle and the given measures in the ratio 3:4 tell you this is a 3:4:5 right triangle. k = 7·5 = 35 inches.

__

Using the Law of Cosines, ...

  k² = m² +j² -2mj·cos(K)

  k² = 21² +28² -2·21·28·cos(90°) = 441 +784 -0 = 1225

  k = √1225 = 35

The length of k is 35 inches.

heathermalatesta

Answer:

35 Inches

Step-by-step explanation:

Instead of using the Law of Cosines, you can use the Pythagorean Theorem; or A^2 + B^2 = C^2 because angle K is 90 degrees. The equation would look like:

21^2 + 28^2 = C^2

441 + 784 = C^2            Square Each Term

1,225 = C^2                   Simplify

35 = C                            Find Square Root

k = 35                             In This Situation, k is C

Otras preguntas