Question
Download Solution PDFΔ ABC is similar to Δ DEF. The area of Δ ABC is 100cm2 and the area of Δ DEF is 49 cm2. If the altitude of Δ ABC = 5 cm, then the corresponding altitude of Δ DEF is:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
ΔABC is similar to ΔDEF
Area of ΔABC = 100 cm2
Area of ΔDEF = 49 cm2
Altitude of ΔABC = 5 cm
Formula used:
If two triangles are similar, the ratio of their areas is equal to the square of the ratio of their corresponding sides or altitudes:
Area of ΔABC / Area of ΔDEF = (Altitude of ΔABC / Altitude of ΔDEF)2
Calculation:
⇒
⇒
⇒
⇒
⇒
∴ The correct answer is option (4).
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