triangle abc is congruent to triangle xyz. in △abc, ab = 12 cm and ac = 14 cm. in △xyz, yz = 10 cm and xz =…

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?\n36 cm\n38 cm\n40 cm\n50 cm

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?\n36 cm\n38 cm\n40 cm\n50 cm

Answer

Explanation:

Step1: Identify congruent sides

Since $\triangle ABC\cong\triangle XYZ$, $AC = XZ = 14$ cm and $BC=YZ = 10$ cm, and $AB = 12$ cm.

Step2: Calculate perimeter

The perimeter $P$ of $\triangle ABC$ is $P=AB + BC+AC$. Substitute $AB = 12$ cm, $BC = 10$ cm and $AC = 14$ cm into the formula: $P=12 + 10+14$. $P=36$ cm.

Answer:

36 cm