Question

Given RS and PT are two altitude of 1 point triangle PQR then the triangle similar to triangle PQT is *
O Triangle QRS
O Triangle PQR
O Triangle PTR
O none of these​

Answer 1

Given : RS and PT are two altitude of 1 point triangle PQR

To Find : the triangle similar to triangle PQT  

O Triangle QRS

O Triangle PQR

O Triangle PTR

O none of these​

Solution:

ΔPQT and  ΔRQS

∠Q = ∠Q   common angle

∠PTQ = ∠RSQ = 90°  as RS and PT are altitudes

Hence ΔPQT ~ ΔRQS  (AA similarity)

ΔRQS  is similar to  ΔPQT  

so none of the given option

Note :  Triangle QRS and  ΔRQS are same triangle but for similarity corresponding angles need to equal

so ΔRQS  is similar to  ΔPQT     not ΔQRS

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