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Question
In the figure, ∆PQR ~ ∆XYZ, find 𝒂 and 𝒃.
In the figure, ∆PQR ~ ∆XYZ, find 𝒂 and 𝒃.
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Solution
Given ∆PQR ~ ∆XYZ
∴ Their Corresponding sides are proportional.
𝑃𝑄/𝑋𝑌 = 𝑄𝑅/𝑌𝑍 = 𝑃𝑅/𝑋𝑍
8/𝑎 = 14/𝑏 = 10/16
⇒ 8/𝑎 = 10/16
⇒ 𝑎 = 12.8 𝑐𝑚
Also, 14/𝑏 = 10/16
⇒ 𝑏 = 22.4 𝑐𝑚
∴ Their Corresponding sides are proportional.
𝑃𝑄/𝑋𝑌 = 𝑄𝑅/𝑌𝑍 = 𝑃𝑅/𝑋𝑍
8/𝑎 = 14/𝑏 = 10/16
⇒ 8/𝑎 = 10/16
⇒ 𝑎 = 12.8 𝑐𝑚
Also, 14/𝑏 = 10/16
⇒ 𝑏 = 22.4 𝑐𝑚
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