Triangles ABC and DEF are equal, and both are isosceles. What is the perimeter of triangle DEF
| August 7, 2021 | education
Triangles ABC and DEF are equal, and both are isosceles. What is the perimeter of triangle DEF if AB = 3 cm, BC = 4 cm, CA = 5 cm?
Since the triangles ABC and DEF are equal, we can put in correspondence the equal angles and equal sides of these two triangles.
Side AB of triangle ACB corresponds to side DE of triangle DEF.
Side AC of triangle ACB corresponds to side DF of triangle DЕF.
Side BC of triangle ACB corresponds to side EF of triangle DЕF.
Find the perimeter of the triangle DЕF:
3 + 4 + 5 = 12 (cm).
ANSWER: perimeter DEF = 12 cm.
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