Question

In the given figure, triangle ABC is an isosceles triangle with perimeter 44 cm. The base BC=12cm, side AB = side AC . A circle touch the three sides as shown in the figure. Find the length of tangent segment to the circle.​

Answer 1

Step-by-step explanation:

1) find the sides of the triangle by angle sum property

2)use theorem: tangents drawn to a circle from an external point are equal.

3)so that you get the answer.

AR=AP=12cm

CQ=CR=6cm

BQ=BP=6cm

Answer 2

Step-by-step explanation:

Perimeter of triangle = 44 cm

AB + AC + BC = 44 ( Because triangle is isosceles )

2 AB +12 = 44 ( so AB = AC)

2 AB = 44 - 12

2AB = 32

AB = 32/2

AB = 16 = AC