Question

Sites of a triangle are in the ratio of 5:12:13 and its perimeter is 300 CM find area

Answer 1

the sum of all angles in a triangle equal to 180 degrees

Step-by-step explanation:

• the the given ratios are 15 is to 12 to 13 equal to 180 degrees.

1. . that is equal to 30.
2. 180 by 30 that is equal to 6..
3. now we should find the angles of the triangle.
4. 5 into 60 call to 30
5. 12 into 6 equal to 72
6. 13 into 6 equal to 78

now find find cube root of 300 that is is your answer.

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Answer 2

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• Ratio = 5 : 12 : 13
• Perimeter = 300 cm

Let us consider the side as x.

So,

• Ratio of triangle = 5x : 12x :13x

Also,

☢ Sum of sides of triangle = Perimeter of the triangle.

$\implies$ 5x + 12x + 13x = 300

$\implies$ 30x = 300

$\implies$ x = 10

So, the sides of triangle will be :

• 5x = 5 × 10 = 50
• 12x= 12 × 10 = 120
• 13x= 13 × 10 = 130

By herons formula,

$\implies$ S = A + B + C/2

$\implies$ S = 50 + 120 + 130/2

$\implies$ S = 150

☢ Area of triangle :

$\implies$ √150(150-120)(130 - 65)(50 - 25)

$\implies$ √150 × 30 × 65 × 25

$\implies$ √7312500

$\implies$ 2704.16(approx.)

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