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Q: What happens to the area of a triangle when the base is doubled and the height remains the same?

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It is impossible to find the area of a triangle with no height, if the triangle had no height it would not even be a triangle, just a angle.

Height

The area of a triangle is one-half the product of the triangle's base and height. The height of an equilateral triangle is the distance from one vertex along the perpendicular bisector line of the opposite side. This line divides the equilateral triangle into two right triangles, each with a hypotenuse of 9c and a base of (9/2)c. From the Pythagorean theorem, the height must be the square root of {(9c)2 - [(9/2)c]}, and this height is the same as that of the equilateral triangle.

The area of triangle is : 60.0

The area of any triangle is 1/2 of (length of the base) multiplied by (the height).Perhaps you can handle it from there.

Related questions

The area should increase.

In the first case, the area will remain the same. In the second case, the area will doubled.

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The area doubles.

The area doubles if the base stays the same.

If the linear dimensions are doubled, the area is multiplied by (2)2 = 4 .

The area is now twice the original value

The area of the triangle would double

The area is multiplied by 4, not doubled.

It depends on whether the height remains unchanged or increases in the same proportion as the radius.

If the base stays the same, the area is also doubled.

The exact same as the original triangle.

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