Question

1. rectangle abcd is shown. which measurement is closest to the length of diagonal ac in meters?10 m10.2 m15 m15.3 mclear all

Explanation:

Step1: Apply Pythagorean theorem

The diagonal of a rectangle forms a right triangle with its length and width, so use $AC = \sqrt{AD^2 + DC^2}$.

Step2: Substitute given values

Substitute $AD = 8$ m and $DC = 13$ m:
$AC = \sqrt{8^2 + 13^2}$

Step3: Calculate squares

Compute the squares:
$AC = \sqrt{64 + 169}$

Step4: Sum and take square root

Add and evaluate the root:
$AC = \sqrt{233} \approx 15.26$ m

Answer:

D. 15.3 m