Q: A triangle has sides in the ratio 10:24:26 and a perimeter of 300 m. What is its area?

A 2500 m²
B 2400 m²
C 2000 m²
D 2200 m²

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Answer: A

Explanation:

 
Let the sides are 10x, 24x, and 26x.
The perimeter is 300 m.
So, 10x + 24x + 26x = 300
60x = 300
x= 5

So, the sides are 10 *5 = 50 meters
24 * 5 = 100 meters
26 * 5 = 130 meters
102 + 242 = 262 so, it is a right triangle.
       100 + 576 = 676

The area of a right triangle is = 1/2 * base * height
              = 1/2 * 50 * 100
              = 2500 m²

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Q: A triangle has sides in the ratio 10:24:26 and a perimeter of 300 m. What is its area?

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