Question

the perimeters of two similar triangles are 12 centimetre and 72 CM if the area of the triangle is 6 CM square find the area of bigger triangle​

Answer 1

Answer:

Step-by-step explanation:

Perimeter = 12

Perimeter=72

Area smaller triangle=6

Now

Perimeter/area=perimeter/area

12/6=72/X

2/1=72/X

2x=72

X=72/2

X=36

:Area = 36

Answer 2

The area of bigger triangle​ is 36 sq.cm.

Step-by-step explanation:

The perimeters of two similar triangles are 12 centimeter and 72 centimeter.

The area of small triangle = 6 cm

Theorem : The ratio of the area of the two similar triangles is equal to the ratio of square of their corresponding perimeter of the similar triangles

So, $\frac{12}{72}=\frac{\text{Area of small triangle}}{\text{Area of large triangle}}$

$\frac{12}{72}=\frac{6}{\text{Area of large triangle}}$

$\text{Area of large triangle}=\frac{6 \times 72}{12}$

$\text{Area of large triangle}=36 cm^2$

Hence The area of bigger triangle​ is 36 sq.cm.

#Learn more:

Area of two similar triangles are 225 square cm and 81 square CM if a side of the smaller triangle is 12 CM then find the corresponding side of the bigger Triangle

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