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given rs = 6, st = 3, and sl = 4, find the required measure. (part of the answer is provided for you.)

Pythagoras theorem are used to determine the missing side length of a right-angled triangle where the two sides are known. The side length of NS is 7.81 units

Given that:

The required length to calculate is NS.

First, we calculate the length of QS using Pythagoras theorem.

Where:

So, we have:

Take square roots of both sides

The length NS is then calculated using Pythagoras theorem, as well.

Where

So, we have:

Take square roots of both sides

Hence, the side length of NS is 7.81 units.

Read more about Pythagoras theorem at:

link