the side of a triangle are in the ratio of 3 ratio 4 ratio 5 the perimeter is 36 CM then what is its area
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Answered by
1
Answer:
The area of triangle is 54 cm².
Step-by-step explanation:
It is given that the sides of a triangle are in the ratio 3 : 4 : 5.
Let the length of sides are 3x, 4x and 5x.
It's perimeter is 36 cm.
The value of x is 3. The length of sides are 9, 12, 15.
It is an right angled triangle because the sum of squares of two smaller sides is equal to the square of larger sides.
Here, the length of hypotenuse is 15 cm.
The area of triangle is
Therefore the area of triangle is 54 cm².
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Answered by
3
Answer:
54 cm²
Explanation:
Let the ratio be 3x : 4x : 5x.
Perimeter = 36 cm
=> 3x + 4x + 5x = 36
=> 12x = 36
=> x = 3
Hence, the sides of the triangle are 9 cm, 12 cm and 15 cm.
Area = 1/2 × Base × Height
=> Area = (1/2 × 9 × 12) cm² = 54 cm²
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