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Can two triangles that have the same base always have the same area?
no
Are Equilateral and equivalent triangles the same thing?
No Equilateral triangles are triangles that have all of its three sides the same exact measurement. This means that if all the sides are the same then all of the interior angles will equal the same. And they always equal 60 degrees in an equilateral triangle. Equivalent traingles are just traingles that are equal in size and angles to another triangle equal. Equivalent traingles can be equilateral but they do not have to be.
What is the relationship between the area of a parallelogram and a triangle when the base and height are the same?
The area of a parallelogram is base x height and the area of a triangle is 1/2 x base x height. So the area of a parallelogram will always be 2 times bigger than a triangle with the same base and height.
Do all types of triangle have the same area?
no. even tho that all triangle have 180 degrees fortheir angles it doesnt mean that all the sides of the traingles haveto be the same. you could have a triangle with sides of 100 ft 80 ft and 60 ft and another triangle with 100in 80 in and 60 in. obviously these traingles are going to have different areas.
What is the relationship between the height and base area?
There is no relationship, in the sense that you can have any base are with any height. For a prism shape (if the horizontal cross section is always the same as the base), the base area times the height is equal to the volume.
Why is that if 2 triangles have the same base they have the same area?
Only if the two triangles have the same base and height then they have the same area, because an area of a triangle OS the base times the height divided by two.
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.
How is the area of a parallelogram related to the area of a triangle with the same base and height?
The parallelogram has twice the area of the triangle if their bases are the same and their heights are the same. Area triangle = 1/2 base x height. Area parallelogram = base x height.
The cross sectional area of a cone parallel to the base is twice the base area?
No. They are the same.
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.
Which has more surface area a rectangular prisms or rectangular pyramid?
For the same base dimensions (base area) and the same height, the rectangular prism has more surface area.
Does a cone with a circle base and a cone with a square base have the same volumes?
no The area of a cone is 1/3 times the base times the height, so the volumes are the same only if the area of the base times the height is the same in both cones.
