The areas of twosimilar triangles abc and DEF are 256 cm and 144 cm respectively if the longest side of the longest side of the larger triangle ABC be 32 cm find the longest side of the smaller triangle
Answers
Answered by
2
Answer: let the longest side of ABC is AB
Let the longest side of DEF is DE
By the theorem
ar(ABC)/ar(DEF)=(AB)²/(DE)²
256/144=(32)²/DE²
16/12=32/DE(square root both side)
384/16=DE(cross multiplication)
24=DE
Step-by-step explanation:
Similar questions