Question
Download Solution PDFIf the figure, AB = AD = 7 cm and AC = AE and BC = 11 cm, then find the length of ED.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
AB = AD = 7 cm and AC = AE and BC = 11 cm
Concept Used:
According to the concept of similarity, two triangles are said to be similar if two sides of one triangle are in the same ratio as two sides of the other triangle and the angle subtended by the two sides in both triangles is equal.
Calculation:
Since AB = AD, and AC = AE, by concept,
ΔABC ∼ ΔADE
Therefore, AB/AD = BC/ED = AC/AE
Now, AB/AD = BC/ED
⇒ 1 = 11/ED (∵ AB = AD)
⇒ ED = 11
∴ The length of ED is 11 cm.
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