The sides of a triangle are in the ratio 10:24:26 and its perimeter is 300 m. What is its area?
O 2500 m2
O 3000 m2
O 3500 m2
O 4000 m2
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⇒The given ratio is 10:24:26. Hence, lets assume that the sides are a= 10x, b=24x, and c=26x
Perimeter = 300 = 10x + 24x + 26x = 60 x
Solving for x, we get x=5.
So, the sides are a=50, b=120, c=130.
⇒So, this is a right angled triangle, where c=130 is the hypotenuse.
Hence, the area(A) = (1/2)* base * height
A = (1/2) * 120 * 50 = 3000 sq m.
OPTION (B) IS CORRECT
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