Question

help ?

Answer 1

This is a problem of similar triangles.

Answer 2

Can you name 2 similar triangles in the figure?

Answer 3

MIT and MSR ?

Answer 4

yes that is right

Answer 5

Correct.
Now you need to find corresponding sides.

Answer 6

On the left side, MI corresponds to MS.
On the bottom, MT corresponds to MR.

Answer 7

Using the given info, you can find MT with a proportion.
Then subtract MR - MT to get TR.

Answer 8

6.6?

Answer 9

\(\dfrac{MI}{MS} = \dfrac{MT}{MR} \)

\(\dfrac{35}{42} = \dfrac{MT}{33} \)

\(MT = \dfrac{33 \times 35}{42} = 27.5\)

\(TR = MR - MT = 33 - 27.5 = 5.5\)