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.
