Question

In triangle pqr pn perpendicular qm and qm perpendicular pr if pr=16.4cm and qr=14.3cm find the length of qm if pn=1.64m

Answer 1

Answer:

Step-by-step explanation:

In triangle pqr angle q = 90° and qm is perpendicular to pr. prove that :  

PQ² = PM * PR

QR² = PR * MR

PQ² + QR² = PR²  

Answer 2

Answer:

QR=14.3cm

PR=16.4cm

PN=1.64cm

QM=?

Area of triangle PQR=1/2*QR*PN

Area of triangle=1/2*14.3*1.64sq.cm

Area of triangle=11.726sq.cm

Also,

Area of triangle PQR=1/2*PR*QM

11.726=1/2*16.4*QM

11.726=8.2*QM

QM=11.726*10 divided by 8.2*1000

QM=1.43cm