let traingle be a area of a triangle find the area of whose each side is twice the side of the given triangle
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Answer:
4a
Step-by-step explanation:
Let the sides be x, y, z.
Now new sides = 2x, 2y, 2z.
We see, x/2x = y/2y = z/2z = 1/2
Therefore the triangles are similar.
We know that the ratio of areas of two similar triangle is equal to the ratio of the squares of their sides.
So, a/Area of new triangle = x^2/4x^2 = 1/4
So, Area of new triangle = 4a
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