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Given above in the figure, AF, BE and CD are parallel lines. Given that AF = 7.5 cm, CD = 4.5 cm, ED = 3 cm, BE = x and AE = y. Find the values of x and y.
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Step-by-step explanation:
Consider ∆ ACB and ∆ CEF
Both are similar traingles
therefore , AB = x
EF 3
Given :- AB = 7.5 cm and EF = 4.5 cm
7.5 /= x/
4.5 3
7.5 *3/ = x
4.5
22.5/ = x (4.5 * 5 = 22.5)
4.5
5 = x
Consider ∆ BCD and ∆BFE
From BPT theorem, both are similar triangles
x/ = x+3/
y 4.5
y = 5 * 4.5/
8
y = 5*45/
8*10
y = 225/80
y = 45/16
hope it helps you mate ❤ ❤❤ ❤
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