Question 57

The height of a triangle is equal to the perimeter of a square whose diagonal is 14.14m and the base of the same triangle is equal to the side of the square whose area is 784 m2. What is the area of the triangle? (in m2)

Solution

We know that, diagonal = 1.414* side
Here, diagoal = 14.14, side = 10 m
Height = Perimeter of square = 10*4 = 40m
Now, base = side of square with 784 $$m^2$$ area.
base = 28
Area of triangle = .5*28*40 = 560 $$m^2$$

Option B is correct option.


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