Question

In ∆PQR, M and N are the midpoints of PQ and PR, respectively. If the area of ​​a PMN is 24 cm, find the area of ​​∆PQR.​

Answer 1

Answer:

Step-by-step explanation:

the triangle area on PMN is 24

area of the traingle PQR is 2*the area of triangle PMN

=2*24=48cm

Answer 2

point m and point N are the midpoint of PQ and PR

now

triangle PMN and triangle PQR

angle PMN = angle PQR corresponding angle

angle MPN = angle QPR common angle

now

triangle PMN similar triangle PQR

area of triangle PMN = PM square (theorem of

area of triangle PQR = PQ square area of two

similar triangle)

24 = pm square

PQR =pq square

24 = pm square 24 ×4 =pm square

PQR =(2pm)square. PQR = pm square

96 =PQR