pablowashere9 pablowashere9
  • 12-12-2019
  • Mathematics
contestada

If ABCD is a square and AB = 10, what is the measure of AC? (rounded to the nearest hundredth)
A) 7.07
B) 14.14
C) 19.21
D) 28.28

Respuesta :

roundadworthy
roundadworthy roundadworthy
  • 21-03-2020

Answer:

The correct answer is B. 14.14 cm

Step-by-step explanation:

Let's use the Pythagorean theorem to find out the measure of AC, this way because AC divides the square in two equal triangles:

AC is the hypotenuse of either Δ ABC or Δ ACD, which sides are 10 cm, therefore we have:

AC ² = Side₁²+ Side₂²

AC ² = 10²+ 10²

AC ² = 200

√AC ² = √200

AC = 14.14 cm

The correct answer is B. 14.14 cm

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