The corresponding sides of ΔABC and ΔDEF have equal lengths. The area of ΔABC is 4 square units, and the longest side of ΔDEF is
2 answers:
Answer:
The area of ΔDEF is
Step-by-step explanation:
we know that
If two triangles are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor
and
The ratio of its areas is equal to the scale factor squared
In this problem
The corresponding sides of ΔABC and ΔDEF have equal lengths
therefore
the scale factor is equal to
The triangles are congruent
therefore
ΔABC and ΔDEF has the same area
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