Question

In a triangle abc if angle b is 90 degree and a + b is 4 and their area of triangle is maximum then angle c i

Answer 1

Answer:

Step-by-step explanation:

Extend EI to meet CB extended in D.

First observe that ADBI is a cyclic quadrilateral

since ∠AID = ∠ABD. Hence ∠ADI = ∠ABI =

45◦

. Hence ∠DAI = 45◦

. Therefore IA = ID.

Consider the triangles AIE and DIF. Both are

right triangles. Moreover ∠IAE = ∠IAB = ∠IDB.

Since IA = ID, the triangles are congruent. This

means IE = IF.

Answer 2

Step-by-step explanation:

The locus of the centres of all circles of given radius r in the same plane and passing through a fixed point is a circle.

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