Question
Download Solution PDFΔDEF and ΔGHI are two similar triangles. If DE = 64 cm, GH = 24 cm and the perimeter of ΔGHI is 72 cm, then what is the sum of the lengths (in cm) of the sides EF and FD of the ΔDEF?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
ΔDEF and ΔGHI are two similar triangles
DE = 64 cm
GH = 24 cm
Perimeter of ΔGHI = 72 cm
Formula used:
In similar triangles, the ratio of corresponding sides is equal
If
Calculation:
Ratio of corresponding sides =
⇒ Ratio of perimeters = 8/3
Let the perimeter of ΔDEF be PDEF
⇒
⇒
⇒
Sum of the lengths of EF and FD = PDEF - DE
⇒ 192 - 64 = 128 cm
∴ The correct answer is option (2).
Last updated on May 28, 2025
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