The circle is inscribed in triangle prt.

which statements about the figure are true? check all that apply.

- the perimeter of the triangle is 19 units.
- tu ≊ ts
- pu ≅ tu
- the length of line segment pr is 13 units.
- the length of line segment tr is 10 units.

we know that

if the circle is inscribed in triangle prt

then

tu ≊ ts

pu ≊ pq

rp ≊ rs

statements

case a) the perimeter of the triangle is units

the statement is false

we know that

perimeter of the triangle is equal to

case b) tu ≊ ts

the statement is true

we know that

so

tu ≊ ts

case c) pu ≅ tu

the statement is false

we know that

so

case d) the length of line segment pr is units

the statement is true

we know that

case e) the length of line segment tr is units

the statement is false

we know that

therefore

the answer is

tu ≊ ts

the length of line segment pr is units

the answer is b: 18

step-by-step explanation:

use the pythagorean theorem to .

a^2+b^2=c^2

plug 18 for "r"

the 2 legs are 18 and 24

18^2+24^2=c^2

324+576=c^2

900=c^2

c=30

30-12=18

18 is the radius

: )