Question
Download Solution PDFIn the figure, AB = AD = 9 cm and AC = AE = 13 cm and BC = 15 cm. Find ED?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDF
AB = AD = 9 cm and AC = AE = 13 and BC = 15 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
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 = 15/ED (∵ AB = AD)
⇒ ED = 15
∴ The length of ED is 15 cm.
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