Question

What is the length of segment SR? ___units

Answer 1

`SR=12\ units`

Explanation:

we know that

Triangles RTS and QTS are congruent by SAS postulate

so

SR=SQ

substitute the given values

`2x+8=8x-4`

Solve for x

`8x-2x=8+4`

`6x=12`

`x=2`

Find out the length of segment SR

`SR=2x+8`

substitute the value of x

`SR=2(2)+8=12\ units`