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Can you please help me out with a question

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Answer:

P = 80 units

Step-by-step explanation:

Let's label some points in the triangle as:

Since the sides of the triangles are tangent to the circumference, we can write the following relationships:

XC = YC

AZ = AY

BX = ZB

So, the length of the missing side XC is equal to:

XC = YC = 14

On the other hand, the length of AB is the sum of the length of AZ and ZB, so we can calculate ZB as:

AB = AZ + ZB

26 = AY + ZB

26 = 18 + ZB

26 - 18 = ZB

8 = ZB

Because AZ and AY have the same length.

Finally, the measure of BX is equal to:

BX = ZB

BX = 8

Therefore, the perimeter of the triangle is:

Perimeter = AY + YC + AZ + ZB + BX + XC

Perimeter = 18 + 14 + 18 + 8 + 8 + 14

Perimeter = 80

So, the answer is 80 units.

Can you please help me out with a question-example-1
User BenAlabaster
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