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

25

Explanation:

I got it right on my assignment.

Answer 2

check the picture below.

we know TQ is 18, and notice those red tickmarks, meaning 2x + 10 is also 18, namely 2x + 10 = 18, 2x = 8, x = 4.

now, the angles at point T are both 90°, the sides RT = TQ, the sides TS = TS, namely, the triangle on the left is congruent with the triangle on the right, due to Side Angle Side, SAS. If both triangles are congruent, then RS = QS, as you see in the picture, and 9x - 11 is just 9(4) - 11 = 25.