Question

solve x, y, z and t which is given in the image

Answer 1

Answer:

T=90°(The diagonals bisects at 90°)

TQR+QTR+TRQ=180 (SUM OF ANGLES OF TRIANGLE)

60+90+Y=180

Y=30

PQT=TQR=30 (DIAGONALS BISECTS THE ANGLES)

PQT+QTP+TPQ=180

60+90+X=180

X=30

TRQ=TRS=30(DIAGONALS BIS.........)

TRS+RTS+TSR=180 (SUM OF......)

30+90+Z=180

Z=60

GIVEN,

PR=10cm

QS=24cm

PT=TR=5cm(AS DIAGONALS BISECTS EACH OTHER)

QT=TS=12cm (AS DIAGONALS.......)

SIN30°=P/H=1/2

THEREFORE,

PT/PS=1/2

5/PS=1/2

1/PS=1/10

PS=10cm