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Question
From the figure, prove that ∆SUN ~ ∆RAY
Solution
Proof: from the ∆SUN and ∆RAY
SU = 10
UN = 12
SN = 14
RA = 5
AY = 6
RY = 7
We have `"SU"/"RA" = 10/5 = 2/1` ...(1)
`"UN"/"AY" = 12/6 = 2/1` ...(2)
`"SN"/"RY" = 14/7 = 2/1` ...(3)
From (1), (2) and (3) we have
`"SU"/"RA" = "UN"/"AY" = "SN"/"RY" = 2/1`
The sides are proportional
∴ ∆SUN ~ ∆RAY
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