Question

What is the length of RS in the diagram TQ is 18 units in length?.

Answer 1

The length of RS in the diagram is 25 units.

Given:

TQ = 18 units

From the figure:

TQ = RT

2x + 10 = 18

2x = 18 - 10

2x = 8

divide by 2 on both sides

2x/2 = 8/2

x = 4 units

Both the triangles are congruent by right angled hypotenuse side criteria.

so RS = QS

= 9x - 11

= 9*4 - 11

= 25 units

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Full question:

What is the length of RS in the diagram TQ is 18 units in length?

Diagram is in the image uploaded.