Question

The diagonals of square PQRS intersect at T. Find the measurement of each given part.
m m PS=?

Answer 1

Answer:

2√5 i.e. 7.07 or 7.1 (Approx.)

Step-by-step explanation:

PT = TR = QT = TS = 5

Area of a square = (Diagonal)²/2

                            = 10²/2

                            = 50

As we also know, area of a square = (Side)²

∴ (PS)² = 50

PS = √50

    = 2√5

    = 7.07 or 7.1 (Approx.)

Hope this helps you a lot mate :)

Mark me as the Brainliest :)

Thanks....

Regards,

Aditya

Answer 2

Answer:

$2\sqrt{5}$

Step-by-step explanation:

in square PT = ST

according to pythogaras theorem

PS^2=PT^2+ST^2

=> PS= $\sqrt{25+25}$

=> PS=$2\sqrt{5}$