15. In the drawing, find the perimeter of triangle BIS.

Mathematics

1 answer:

Nesterboy [21]3 years ago

3 0

Answer:

29.86 units

Step-by-step explanation:

In the triangle BIS, IT is the bisector of angle BIS,

$BI \cong ST.... (given) \\$

Let BI = ST = x... (1)

By angle bisector property of a triangle, we have:

$\frac{BI}{IS} = \frac{BT}{ST}.... (2)\\\\\frac{x}{12} = \frac{4}{x}\\\\x\times x = 12\times 4\\\\x^2 = 48\\\\x=\sqrt{48}\\\\x = 6.92820323\\\\x = 6.93\\$

Therefore,

BI = ST =6.93

Perimeter of triangle BIS

= BI + IS + ST + BT

= 6.93 + 12 + 6.93 + 4

= 29.86 units

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