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Question
In the given figure, ΔABC ∼ ΔQPR, If AC = 6 cm, BC = 5 cm, QR = 3 cm and PR = x; them the value of x is ______.
Options
3.6 cm
2.5 cm
10 cm
3.2 cm
Solution
In the given figure, ΔABC ∼ ΔQPR, If AC = 6 cm, BC = 5 cm, QR = 3 cm and PR = x; them the value of x is 2.5 cm.
Explanation:
Given, ΔABC ∼ ΔQPR
AC = 6 cm, BC = 5 cm, QR = 3 cm and PR = x
Since, triangles are similar
∴ `(AC)/(QR) = (BC)/(PR)` ...(By proportionality theorem)
`\implies 6/3 = 5/x`
`\implies` x = `(5 xx 3)/6`
= `5/2`
= 2.5 cm
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