Question

. Triangles Q R P and X Y Z are congruent. Angle P Q R is 72 degrees. The lengths of sides A P and P R are 2.5 inches. Angle X Y Z is 36 degrees. The length of side X Y is 1.4 inches. What is the perimeter of ΔYXZ? 3.5 in. 5.3 in. 6.4 in. 7.8 in.

Answer 1

C. 6.4in

Explanation:

Got Correct On Assist.

Answer 2

6.4 inches

Explanation:

See figure attached.

The perimeter of a triangle is obtained adding the length of all its sides. If the two triangles are congruent, then, all of they sides and angles are equal. Therefore QR = XY = 1.4 inches and PQ = PR = XZ = YZ = 2.5 inches. So, perimeter = QR + PQ + PR = 1.4 + 2.5 + 2.5 = 6.4 inches.