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No. When we say triangles are similar we mean that they are the same shape. So a triangle could have the same shape but be double the size. It would then have an area 4 times the original triangle.
Example: a right angled triangle with sides 3, 4 and 5 cm would be similar to a right angled triangle with sides 6,8 and 10 cm. The area of the first triangle would be (3x4)/2=6sq cm, while the area of the latter would be (6x8)/2+24 sq cm.
When triangles are identical they are called "congruent". They are the same shape and size and the same area.
The formula to calculate the area of a triangle is half(basexheight) or bh/2. Triangles of the same area do not have to be similar. It is just necessary that the product of the base and the height are the same. So a triangle with a base of 4 and a height of 3cm would have the same area area as a triangle with a base of 1 and a height of 12cm.
No. Long thin triangles can have the same area as short fat ones but they will not be similar just as two rectangles may have the same area but different proportions.
Example:A rectangle 4 * 6 units has an area of 24 square units, so does a rectangle that is 2 * 12 units.
Now the cut these rectangles in half, corner to diametrically opposite corner and you have triangles. The one 6 units long and 4 units high and the other 12 units long by 2 units. These have the same area (the both are 12 square units) but are not similar.
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Do all triangles with same side lengths have the same area?
Only if they are congruent triangles
What do similar triangles look like?
similar triangles have all the same angles in each of them, and their sides can be of any length
Are all similar triangles congruent triangles?
No. For example the triangles with sides {3, 4, 5} and {6, 8, 10} are similar but not congruent.
Are Equiangular triangles similar triangles?
Similar triangles are those which have the same set of 3 angles but the length of their sides is perhaps different - in other words they are exactly the same SHAPE but they are different size. Equilateral triangles have all 3 angles equal ( all 60degrees) so the answer is YES.
What is a Similar triangles?
Two triangles are said to be similar if the ratio of the sides of one triangle to the corresponding sides of the other triangle remains the same. One consequence is that all corresponding angles are the same.
When you are finding the area of a triangle do you do the same for all types of triangles?
yes. When you are finding the area of a triangle you do the same for all types of triangles.
Do all triangles with same side lengths have the same area?
Only if they are congruent triangles
What do similar triangles look like?
similar triangles have all the same angles in each of them, and their sides can be of any length
What type of triangle is always similar to all other triangles of the same type?
90 degree triangles are always similar.
Why are congruent triangles similar?
Congruent triangles are the same because all three sides measure the same length.
Are all similar triangles congruent triangles?
No. For example the triangles with sides {3, 4, 5} and {6, 8, 10} are similar but not congruent.
Does every type of triangle have the same area?
No, all triangles do not have the same area
Is all acute triangles similar?
Only if they have the same angles
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.
Are Equiangular triangles similar triangles?
Similar triangles are those which have the same set of 3 angles but the length of their sides is perhaps different - in other words they are exactly the same SHAPE but they are different size. Equilateral triangles have all 3 angles equal ( all 60degrees) so the answer is YES.
What are the properties of similar triangles?
2 sides in same ratio and included angle all angles 3 sides in same ratio Triangles are similar if they are the same shape, with the same angles and proportions, but not necessarily the same size.
What is a Similar triangles?
Two triangles are said to be similar if the ratio of the sides of one triangle to the corresponding sides of the other triangle remains the same. One consequence is that all corresponding angles are the same.
