The perimeter of a triangle is 36cm. And its sides are in the ratio of 3:4:5. Find the area of the triangle.
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Let sides are 3 x , 4 x and 5 x ,
Given that perimeter of the triangle is 36 cm.
So, sum of all sides =36 cm
↪ 3 x + 4 x + 5 x = 3 6
↪ 1 2 x = 3 6
↪ x = 3
So,
Sides are 3 x = 3 × 3 = 9 cm
4 x = 4 × 3 = 12 cm
5 x = 5 × 3 = 15
As we can see that 3 , 4 and 5 are Pythagorean triplets.
Area of triangle = ( 3 x × 4 x ) / 2
Area of triangle = 6 x² cm²
Area of triangle = 6( 3 )³ cm²
Area of triangle = 162 cm²
Given that perimeter of the triangle is 36 cm.
So, sum of all sides =36 cm
↪ 3 x + 4 x + 5 x = 3 6
↪ 1 2 x = 3 6
↪ x = 3
So,
Sides are 3 x = 3 × 3 = 9 cm
4 x = 4 × 3 = 12 cm
5 x = 5 × 3 = 15
As we can see that 3 , 4 and 5 are Pythagorean triplets.
Area of triangle = ( 3 x × 4 x ) / 2
Area of triangle = 6 x² cm²
Area of triangle = 6( 3 )³ cm²
Area of triangle = 162 cm²
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Let sides are 3 x , 4 x and 5 x ,
Given that perimeter of the triangle is 36 cm.
So, sum of all sides =36 cm
3 x + 4 x + 5 x = 3 6
1 2 x = 3 6
x = 3
So,
Sides are 3 x = 3 × 3 = 9 cm
4 x = 4 × 3 = 12 cm
5 x = 5 × 3 = 15
As we can see that 3 , 4 and 5 are Pythagorean triplets.
Area of triangle = ( 3 x × 4 x ) / 2
Area of triangle = 6 x² cm²
Area of triangle = 6( 3 )³ cm²
Area of triangle = 162 cm²
Let sides are 3 x , 4 x and 5 x ,
Given that perimeter of the triangle is 36 cm.
So, sum of all sides =36 cm
3 x + 4 x + 5 x = 3 6
1 2 x = 3 6
x = 3
So,
Sides are 3 x = 3 × 3 = 9 cm
4 x = 4 × 3 = 12 cm
5 x = 5 × 3 = 15
As we can see that 3 , 4 and 5 are Pythagorean triplets.
Area of triangle = ( 3 x × 4 x ) / 2
Area of triangle = 6 x² cm²
Area of triangle = 6( 3 )³ cm²
Area of triangle = 162 cm²
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