Question

the perimeter of a triangle is 300 M and its sides are in the ratio 5: 12: 13 find its area​

Answer 1

Given :

• Perimeter of the Triangle = 300 m
• Ratio of Sides = 5:12:13

To Find :

• Find the Sides

$\\ \qquad{\rule{200pt}{2pt}}$

SolutioN :

$\dag$ Formula Used :

• ${\underline{\boxed{\pmb{\sf{ Perimeter {\small_{(Triangle)}} = a + b + c }}}}}$

Where :

• a = Side 1 = 5y
• b = Side 2 = 12y
• c = Side 3 = 13y

$\dag$ Calculating the Value of y :

${\longmapsto{\qquad{\sf{ Perimeter = a + b + c }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ 300 = 5y + 12y + 13y }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ 300 = 5y + 25y }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ 300 = 30y }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ \dfrac{300}{30} = y }}}} \\ \\ \\ \ {\longmapsto{\qquad{\sf{ \cancel\dfrac{300}{30} = y }}}} \\ \\ \\ \ {\qquad \; \; {\longmapsto \; {\pmb{\underline{\boxed{\pink{\frak{ y = 10 }}}}}}}}$

$\dag$ Calculating the Sides :

• a = 5y = 5(10) = 50 cm
• b = 12y = 12(10) = 120 cm
• c = 13y = 13(10) = 130 cm

$\therefore \;$ The 3 Sides of the triangle are 50 cm , 120 cm and 130 cm .

$\\ \qquad{\rule{200pt}{2pt}}$

Answer 2

Answer:

The sides are 50m, 120m and 130m

Step-by-step explanation:

Question:-

The perimeter of a triangle is 300 M and its sides are in the ratio 5: 12: 13 find its area

Given:-

The perimeter of a triangle is 300m

To find:-

To find the each side whose ratio=5:12:13

Solution:-

Let us assume that,

Side a=5x

Side B=12x

Side c=13x

According to the question

Perimeter of triangle =Sum of all sides

On substituting the given values we get,

300=5x+12x+13x

300=30x

300/10=x

x=10

Calculating the sides:-

5x=5(10) =50m

12x=12(10) =120m

13x=13(10) =130m

Therefore the sides are 50m, 120m and 130m

Additional information:-

Perimeter of rectangle=2(length+breadth)

Perimeter of square=4×Side

Perimeter of triangle=Sum of all sides

Perimeter of rhombus=4×Side

Perimeter of circle=2πr

Perimeter of semicircle=2πr/2 +d

Perimeter of parallelogram=Sum of all sides

Perimeter of trapezium=Sum of all sides

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