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Earn +20 ptsQ: Can two triangles that have the same base always have the same area?
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Is it true or false that two triangles that have the same base have the same area?
False. The equation for area of a triangle is 1/2 base x height. The height and the base would have to be the same for two triangles to have the same area.
Are 2 triangles congruent if they have the same area?
Not always
What is the area of a scalene?
All triangles have the same formula A=bh/2. Pick any side you like as a base and multiply by half the height, it will always give the area.
If two triangles have the same base then the areas will be the same?
Not always because that will depend on their other 2 dimensions
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.
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