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angle ABC is a circumscribed about point H with points of tangency D,E, F what is the perimeter of a b and c? but i know AB =7 and ac+ad+dc=6+4=10 but i dont know BC and on

angle ABC is a circumscribed about point H with points of tangency DE F what is the perimeter of a b and c but i know AB 7 and acaddc6410 but i dont know BC and class=

Respuesta :

Answer

Perimeter = 22 units

Explanation

To answer this, we need to note that two tangents to a circle that start from the same point usually have the same lengths.

So,

AD = AE = 6

CD = CF = 4

Since,

AB = 7 and AB = AE + EB

AE = 6

So,

AB = AE + EB

7 = 6 + EB

EB = 7 - 6

EB = 1

FB = EB = 1

So,

AC = AD + DC = 6 + 4 = 10

AB = 7

CB = CF + FB = 4 + 1 = 5

So, the perimeter of the triangle is given as the sum of all its exterior sides

Perimeter = AB + AC + CB

Perimeter = 7 + 10 + 5 = 22 units

Hope this Helps!!!

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