Question
The sides of a triangle are in the ratio 7:24:25. If the
area of the triangle is 336 cm², what is the perimeter of the triangle?Solution
ATQ,
Since, the sides of the triangle are in ratio 7:24:25, the given triangle is a right-angled triangle.
Let the three sides of the triangle be '7x' cm, '24x' cm and '25x' cm, respectively.
So, area of the triangle = (1/2) × (7x) × 24x = 336
Or, 84x² = 336
Or, x² = 4
So, x = ±2
Since, length of side cannot be negative, x = 2
So, required perimeter = 2 × (7 + 24 + 25) = 2 × 56 = 112 cm
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