Properties Of Triangle Test

Result

Properties Of Triangle Test - 1

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Question 1
1 / -0

Statement-1 : The orthocenter of the given triangle is coincident with the incentre of the pedal triangle of the given triangle.

Statement-2 : Pedal triangle is the ex-central triangle of the given triangle.

A
Both Statement-1 and Statement-2 are true and Statement-2 is the correct explanation of Statement-1.

B
Both Statement-1 and Statement-2 are true and Statement-2 is not the correct explanation of Statement-1.

C
Statement-1 is true but Statement-2 is false.

D
Statement-1 is false but Statement-2 is true.

Solution

The incentre of the pedal triangle of the given triangle is coincident with the orthocentre of the given triangle. Since pedal triangle is formed with the feet of the altitudes of the triangle so the given triangle is the excentral triangle of the pedal triangle.