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PROVE THAT triangles on the same base and between same par ells are equal in area?
Wiki User
∙ 15y ago
Aww, man. Proofs? You're on your own.
Wiki User
∙ 15y ago
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What is the formula for a triangular pyramid in surface area?
A=1/2bh The area of a triangle is 1/2bh. If the base of it is a triangle and all 4 of the triangles aren't the same, then you have to find the area of the base triangle and then the three other triangles (which should all have the same area). If all four of the triangles have the same area, then just find the area of one of the triangles and multiply that by four. A triangular pyramid that has four equal triangles is also called a tetrahedron.
Is every triangle half of a rectangle?
No. Although the area of every triangle is equal to half the area with the same base and height, only right angled triangles are half a rectangle.
Do congruent triangles have the same area?
yes
If two triangles are congruent do they have the same area?
yes they have same area
What is the relation between perimeter and triangle area?
If you double (2 times) the perimeter the area will will be 4 times larger. Therefore the area is proportional to the square of the perimeter or the perimeter is proportional to the square root of area. The relationship as shown above applies only to triangles with similar proportions, that is when you scale up or down any triangle of fixed proportions. Other than that requirement, there is no relationship between perimeter and area of any shape of triangle except that it can be stated that the area will be maximum when the sides are of equal length (sides = 1/3 of perimeter).
Do 2 triangles with 2 equal sides have the same area?
Only if the two triangles are congruent will they have equal areas. A third fact is required to determine they are congruent (and thus have the same area): 1) The third sides are equal; 2) The angles enclosed between the sides are equal; or 3) The same one of the sides is the hypotenuse of the triangles, which are right angled triangles.
Do triangles with equal bases and heights have a equal area?
Yes.
Do the diagonals of a rhombus divide it into four triangles of equal area?
Yes, they do.
Are two triangles with the same area and perimeter always congruent?
I believe so, though I am not sure I can prove it.
How many triangles have the area of one?
Any triangles where the base multiplied by the height equal 2, so technically, infinity.
How do you prove lines are parallel in similar triangles?
Given:In a triangle ABC in which EF BC To prove that:AE/EB=AF/FC Construction:Draw EX perpendicular AC and FY perpendicular AB Proof:taking the ratios of area of triangle AEF and EBF and second pair of ratio of area of triangle AEF and ECF. We get AE/EB and AF/FC we know that triangle lie b/w sme and same base is equal in area therefore area of EBF I equal to area of ECF therefore AE/EB=AF/FC HENCE PROVED
Does area equal base times height?
only for triangles and parallelograms as far as i know
What is the formula for a triangular pyramid in surface area?
A=1/2bh The area of a triangle is 1/2bh. If the base of it is a triangle and all 4 of the triangles aren't the same, then you have to find the area of the base triangle and then the three other triangles (which should all have the same area). If all four of the triangles have the same area, then just find the area of one of the triangles and multiply that by four. A triangular pyramid that has four equal triangles is also called a tetrahedron.
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.
Show that the diagonals of parallelogram divide it into four triangles of equal area?
We know that diagonals of parallelogram bisect each other. Therefore, O is the mid-point of AC and BD. BO is the median in ΔABC. Therefore, it will divide it into two triangles of equal areas. Area (ΔAOB) = Area (ΔBOC) ... (1) In ΔBCD, CO is the median. Area (ΔBOC) = Area (ΔCOD) ... (2) Similarly, Area (ΔCOD) = Area (ΔAOD) ... (3) From equations (1), (2), and (3), we obtain Area (ΔAOB) = Area (ΔBOC) = Area (ΔCOD) = Area (ΔAOD) Therefore, it is evident that the diagonals of a parallelogram divide it into four triangles of equal area.
Two Pythagoras triangles with area equal to perimeter?
5, 12, 13 and 6, 8, 10
Which theorem is used to prove that aas triangle congruence postulate theorem?
AAS: If Two angles and a side opposite to one of these sides is congruent to thecorresponding angles and corresponding side, then the triangles are congruent.How Do I know? Taking Geometry right now. :)
