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? 36 cm 38 cm 40 cm 50 cm

Explanation:

Step1: Recall congruent - triangle property

Corresponding sides of congruent triangles are equal. Since $\triangle ABC\cong\triangle XYZ$, $BC = YZ$. Given $YZ = 10$ cm, so $BC=10$ cm.

Step2: Calculate perimeter of $\triangle ABC$

The perimeter $P$ of a triangle 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