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QA triangle has sides in the ratio 10:24:26 and a perimeter of 300 m. What is its area?
ID: #5300
Area
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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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