Question

Circle O is inscribed in the given triangle.

Circle O is inscribed within a triangle. Points Q, P, and R of the circle are on the sides of the triangle. Point P splits the side of the triangle into lengths of 12 and 4. Point Q splits the sides of the triangle into lengths of blank and 6.

What is the perimeter of the triangle?

22 units
30 units
44 units
60 units

Answer 1

44 units is the perimeter of the triangle.

Step-by-step explanation:

Let the triangle be ABC,

Given,

Circle O is inscribed in the ΔABC with points P, Q, and R on its sides.

P divides the side AC of the triangle into 12 & 4,

so,

AC = 12 + 4 = 16

Considering, AB to be split similarly into 12 & 4 by Q,

so,

AB = 12 + 4 = 16

Point Q splits the sides BC into the length of 6 units each,

So,

BC = 6 + 6 = 12

Perimeter of the triangle = sum of all sides

= AB + BC + CA

= 16 + 16 + 12

= 44 units

Learn more: find the perimeter of the triangle

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