Question

in triangle MNP, seg ST || seg MN. PN=10cm, TN=6cm, ST=8cm, then MN=?

Answer 1

In triangle MNP,

GIVEN,

PN=10CM

TN=6CM

ST=8CM

As we have PN=10CM&TN=6 CM,

PT=PN-TN=10-6=4CM

NOW,

IN TRIANGLE PST AND TRIANGLE MNP,

1)<PST=<PMN(CORRESPONDING)

2)<PTS=<PNM(CORRESPONDING)

3)<SPT=<MPN(COMMON ANGLE)

HENCE

TRIANGLE PST AND TRIANGLE MNP ARE SIMILAR BY AAA FACT..

SO,

PT/PN=PS/PM=ST/MN

TAKING 1ST AND 3RD RATOIS,

PT/PN=ST/MN

OR, 4/10=8/MN

OR, 2/5=8/MN

OR,MN=20CM

HOPE IT HELPS