Question

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

Answer 1

The correct answer is B. 14.14 cm

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