8. State whether the given pairs of triangles are similar or not. In case of similarity mention the
criterion
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Answer:
a)
in ∆ABO
H²=P²+B²
16²=P²+9²
256-81=P²
P²=175
P=√175
in∆OCD
9²=5²+DC²
DC²=81-25
DC=√56
in ∆ABO and OCD
16/9≠9/5≠√175/√56
not similar because ratio of their corresponding sides are not equal
but if you take approximate value then it is similar
b)
in∆PQR
P+Q+R=180
45+78+R=180
R=180-123
R=57⁰
in ∆MLN
45+57+N=180
102+N=180⁰
N=180⁰-102⁰
N=78⁰
so
angle P=M=45⁰
Q=N=78⁰
R=L=57⁰
so∆PQR similar ∆MNL
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