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square stqr is drawn on one side of right triangle tpq.

the length of each side of the square is about __ units, and the length of its diagonal is about __ units.

Part 1) The length of each side of the square is about 4.47 units

Part 2) The length of its diagonal is about 6.32 units

Step-by-step explanation:

Part 1)

Find the length of each side of the square

In the right triangle TPQ

Applying the Pythagoras Theorem

substitute the given values

-----> exact value

-----> approximate value

Part 2)

Find the length of the diagonal of the square

Applying the Pythagoras Theorem

we have

substitute

-----> exact value

----> approximate value

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation: