Question

what is the length of ac? enter your answer as a number. a 7 d c b answer

Explanation:

Step1: Identify congruent triangles

Triangles \(ABD\) and \(CBD\) are congruent (by SAS: \(BD\) is common, \(\angle ADB = \angle CDB = 90^\circ\), and \(AB = CB\) as marked). So \(AD = CD\).

Step2: Calculate \(AC\) length

Given \(AD = 7\), then \(CD = 7\). Thus, \(AC = AD + CD = 7 + 7 = 14\).

Answer:

14