Answer:
The true statement is UV < US < SR ⇒ 1st statement
Step-by-step explanation:
"I have added screenshot of the complete question as well as the
diagram"
* <u><em>Lets revise the hinge theorem</em></u>
- If two sides of one triangle are congruent to two sides of another
triangle, and the measure of the included angle between these two
sides of the first triangle is greater than the measure of the included
angle of the second triangle then the length of the third side of the
first triangle is longer than the length of the third side of the second
triangle
* <em>Lets solve the problem</em>
- The figure has three triangles have a common vertex T
- m∠UTV < m∠UTS < m∠STR
- <u><em>From the hinge theorem above</em></u>
∵ The side opposite to ∠UTV is VU
∵ The side opposite to ∠UTS is US
∵ The side opposite to ∠STR is SR
∵ m∠UTV < m∠UTS < m∠STR
∴ UV < US < SR
* The true statement is UV < US < SR
