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I believe so, though I am not sure I can prove it.

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Q: Are two triangles with the same area and perimeter always congruent?
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Related questions

Are 2 triangles congruent if they have the same area?

Not always


Triangles are congruent if the have the same?

area


Triangles are congruent if they have the same what?

Triangles are congruent if the lengths of their corresponding sides as well as the measures of their corresponding angles are the same.


Do congruent triangles have the same area?

yes


If two triangles are congruent do they have the same area?

yes they have same area


Do all triangles with same side lengths have the same area?

Only if they are congruent triangles


How do you find the area of a polygon with no congruent sides?

A polygon with no congruent sides is not going to have any convenient formula by which the area can be calculated, however, you can always break it up into a series of triangles and rectangles, and then calculate the area of those, and add up the results.


If two triangles have the same perimeter will they have the same area?

fu


What is the difference between the area of two triangles within two congruent trapezoids?

There is not enough information about the triangles to be able to answer the question.


How do you find perimeter and area of triangles?

Perimeter . . . add up the lengths of all three sides. Area . . . multiply (half the length of the base) by (the height).


Are two triangles congruent if they have same area?

Not necessarily. You find the area of a triangle with the formula 1/2*base*height=Area. Imagine two triangles, one with 3 inches for both the base and height, and one with 4.5 inches for the height and 2 inches for the base. Both of these triangles will have 9 sq. in. for their areas, but they are not congruent.


What is the area and perimeter of a large square if two congruent rectangles are arranged so they from a square with each perimeter of rectangles is 36 inches?

area = 144 square units perimeter = 48 units