Can triangles with different side lengths be similar?

Two triangles are Similar if the only difference is size (and possibly the need to turn or flip one around). Some of them have different sizes and some of them have been turned or flipped. Also notice that the corresponding sides face the corresponding angles.

Can two triangles have the same area but different perimeters?

No, it can’t. Two triangles having same perimeter 30.

Do triangles with the same base have the same area?

Triangles on the same base (or equal bases) and between the same parallels are equal in area. Triangles on the same base (or equal bases) and having equal areas lie between the same parallels. A median of a triangle divides it into two triangles of equal areas.

Can two triangles have the same area but not be congruent?

Any two triangles with the same base and same height must have the same area but they may not be congruent. This need not be true. Two triangles need not be congruent just because their areas are the same. Two triangles can have different angles and sides and can still have the same area.

Is there any relation between area and perimeter of a triangle?

The perimeter of a triangle is the sum of the length of its three sides, whether they are equal or not. The area of a triangle is equal to the basis multiplied by the height divided by .

Will two triangles that have the same base always have the same area?

Can two right triangles have the same area?

If two triangles are congruent, they have the same area. But two triangles can easily have the same area, and have different angles and sides. For example, a 3/4/5 right triangle has area = 6. A triangle with base of 4 and other two sides [square root of 13] also has area = 6.

Is it possible to draw two triangles with different side lengths?

Well it is in fact possible to draw two triangles with matching side lengths and different angles, in the same geometry. You can do this in the hyperbolic plane by allowing vertices on the boundary of the plane. The boundary of the hyperbolic plane is like a circle that is infinitely far away from any point in the space.

How do you know if two triangles are congruent?

Congruence of triangles : Two triangles are congruent if their corresponding sides are equal in length, in which case their corresponding angles are equal in measure. Two triangles need not be congruent just because their areas are the same. Two triangles can have different angles and sides and can still have the same area.

What is the area of a congruent triangle?

“Area” is 1/2 (bh). “Congruent” means same three sides and three angles. If two triangles are congruent, they have the same area. But two triangles can easily have the same area, and have different angles and sides.