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Reginald Delacruz

Reginald Delacruz

Answered question

2022-06-30

In triangle Δ A B C C = 90 . The angle bisectors of angles A and B cross at point O. The distance from point d ( O , A C ¯ ) = 3 cm and d ( O , A B ¯ ) = 15 cm. Find the perimeter of triangle Δ A B C in cm

Answer & Explanation

Odin Jacobson

Odin Jacobson

Beginner2022-07-01Added 17 answers

O is the center of inscribed circle.
Let M, N and P be the tangent points of A C, A B and B C respectively, and
A N = A M = x , N B = B P = y , x + y = 15 , C P = C N = 3 Then, perimeter P = ( x + y ) + ( y + 3 ) + ( 3 + x ) = 36

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