Question

If median am of triangle abc is 3.5cm and median pn of triangle pqr is 4.0cm. if area of triangle abc is 49cm square.find the area of triangle

Answer 1

Step-by-step explanation:

3.5/49=4.0/X

3.5×X=4.0×49

3.5×X=196

X=196/3.5

X=1960/35

X=56

Ans is 56

Answer 2

The  of triangle PQR= 64 square cm

Step-by-step explanation:

$\triangle$ABC$sim\triangle$PQR

Median of triangle ABC=3.5 cm

Median of triangle PQR=4 cm

Area of triangle ABC=49 square cm

We know that when two triangles are similar then

$\frac{ar(ABC}{ar(PQR)}=(\frac{median\;of\;triangle\;ABC}{Median\;of\;trianglePQR})^2$

Using the formula

$\frac{49}{ar(PQR)}=(\frac{3.5}{4})^2=\frac{(3.5)^2}{4^2}$

$\frac{49}{ar(PQR)}=\frac{12.25}{16}$

Ar(PQR)=$\frac{49\times 16}{12.25}$

Ar(PQR)=64 square centimeter

Hence,the  area of triangle PQR= 64 square cm

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