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in the following figure abc and amp are two right
Question:
In the following figure, ABC and AMP are two right triangles, right-angled at B and M, respectively. Prove that:
(i) ΔABC ~ ΔAMP
(ii)
\(\frac{CA}{PA}=\frac{BC}{MP}\)
CBSE Class X
Updated On:
Nov 3, 2023
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Solution and Explanation
In ∆ABC and ∆AMP,
\(\angle\)
ABC =
\(\angle\)
AMP (Each 90°)
\(\angle\)
A =
\(\angle\)
A (Common)
∴ ∆ABC ∼ ∆AMP (By AA similarity criterion)
\(\Rightarrow\frac{CA}{PA}=\frac{BC}{MP}\)
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