The area of triangle is 150cmsq and it's sides are in ratio 3:4:5.What...
Area of triangle = 150 lets x is the factor of a, b, and c and, a, b, c are the sides of triangle. a= 3x b= 4x c=5x semi perimeter = a + b + c /2 3x+ 4x + 5x/2 = 12x/ 2 = 6x area of triangle = 150 (s-a)(s-b) ( s-c)=150 (6x-4x)( aadha hi diya kyunki isme aadhe sign nhi hai
The area of triangle is 150cmsq and it's sides are in ratio 3:4:5.What...
Given Information:
Area of triangle = 150 cm²
Sides are in ratio 3:4:5
Calculating the sides of the triangle:
Let the sides of the triangle be 3x, 4x, and 5x.
Using the formula for the area of a triangle (Area = 1/2 * base * height), we can express the area in terms of the sides:
150 = 1/2 * 3x * h
h = 100/x
Now, using the Pythagorean theorem, we can find the value of x:
(3x)² + (4x)² = (5x)²
9x² + 16x² = 25x²
25x² = 25x²
x = 6
Therefore, the sides of the triangle are 18 cm, 24 cm, and 30 cm.
Calculating the perimeter:
Perimeter of a triangle is the sum of all its sides.
Perimeter = 18 + 24 + 30 = 72 cm
Therefore, the perimeter of the triangle is 72 cm.
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