Question

triangle abc is congruent to triangle xyz. in △abc, ab = 12 cm and ac = 14 cm. in △xyz, yz = 10 cm and xz = 14 cm.
what is the perimeter of △abc?
40 cm 50 cm 36 cm 38 cm

Explanation:

Step1: Determine the corresponding sides

Since \(\triangle ABC\cong\triangle XYZ\), \(AC = XZ = 14\mathrm{cm}\), \(BC=YZ = 10\mathrm{cm}\), and \(AB = 12\mathrm{cm}\).

Step2: Calculate the perimeter

The perimeter \(P\) of \(\triangle ABC\) is \(P=AB + BC+AC\).
Substitute \(AB = 12\mathrm{cm}\), \(BC = 10\mathrm{cm}\), and \(AC = 14\mathrm{cm}\) into the formula:
\(P=12 + 10+14\)
\(P=(12 + 10)+14\)
\(P = 22+14\)
\(P=36\mathrm{cm}\)

Answer:

\(36\mathrm{cm}\)