Question

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brainliacs

good morning...

please answer me

question 20...

tomorrow is my exam...


so please explain well


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Answer 1

Hello .

Firstly in Triangle OTS and Triangle OQU

Angle O = Angle 0 ( Vertically Opposite angle )

TS = QU ( Midpoint of Square )

angle OTS =angle QUO ( 90 degree each)

Triangle OTS Congruent to OQU. ( AAS criteria)

TO = OU ( By CPCTC)

OQ = Os ( By CPCTC)

O is the midpoint of the square.

Hence ,

By Phythagoras Theorem ,

OS = $\sqrt{16+16}$

OS = $\sqrt{32}$.

then ,

QS = $\sqrt{32} +\sqrt{32}$

QS = $\sqrt{64}$

QS = 8 cm .

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