Question

the perimeter of a triangle is 300 cm and its sides are in the ratio 5:12:13 find its area
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Answer 1

perimeter of a triangle = sum of the sides.

let the sides of triangle be 5x,12x,13x.

so,

5x + 12x + 13x = 300

30x=300

x=10 cm.

HOPE THIS WILL HELP YOU......

Answer 2

Answer:

3000 cm²

Step-by-step explanation:

Given :

• Perimeter of the triangle = 300 cm
• Sides are i the ratio 5:12:13

To find:

• sides of the triangle

Let the sides be 5x,12x and 13x

According to the question:

5x+12x+13x=300

30x=300

x=300/30

x=10

Measurement of first side = 5x = 5×10 = 50 cm

Measurement of second side = 12x = 12×10 = 120 cm

Measurement of third side = 13x = 13×10 = 130 cm

Semi perimeter = perimeter/2 = 300/2 = 150 cm

area = $\sqrt{150(150-50)(150-120)(150-130)}$

area = $\sqrt{150(100)(30)(20)}$

area = 3000 cm²

The area of the triagle is equal to 3000 cm²