Question

In the diagram, TQ is 18 units in length. What is the length of RS? 16 units 18 units 25 units 46 units

Answer 1

Given: TQ is 18 units in length

To find: The length of RS?

Solution:

• Now we have given the length of TQ as 18 units.

• So, TQ = RT.

           2x + 10 = 18

           2x = 18 - 10

           2x = 8

           x = 4 units.

• Now both the triangles will be congruent by Right Angled Hypotenuse Side criteria, or SAS concurrency criteria, so as both the triangles are congruent, then RS = QS.

          = 9x - 11

          = 9(4) - 11

          = 25 units.

Answer:

           So the length of RS is 25 units.