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The sum of the perimeters of two congruent triangles is three times the perimeter of the first triangle?
Wiki User
∙ 9y ago
Let's denote the perimeter of the first triangle as P. Since the triangles are congruent, the perimeter of the second triangle is also P. The sum of their perimeters is then 2P. According to the given statement, this sum is three times the perimeter of the first triangle. So we have the equation 2P = 3P. Simplifying, we find that P = 0, which is not a valid solution. Therefore, there is no triangle for which the sum of the perimeters of two congruent triangles is three times the perimeter of the first triangle.
Wiki User
∙ 9y agoNo
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How do you get perimeters from triangles?
The perimeter of any triangle is the sum of its 3 sides
If the area of triangle B is 64 times greater than the area of triangle A how much greater is the perimeter of triangle B?
IF triangles 'A' and 'B' are similar (they both have the same angles),then the perimeter of 'B' is 8 times the perimeter of 'A'.If they're not similar, then the ratio of areas doesn't tell you the ratioof perimeters.
What two triangles which are not congruent?
No isosceles triangle in the world is congruent to any equilateral triangle. No equilateral triangle in the world is congruent to any right triangle.
If the hypotenuse and leg of a triangle are congruent to the hypotenuse and leg of another triangle are the triangles congruent?
yes
How do you describe triangles by the sides?
Scalene Triangle- a triangle with no congruent sides Isosceles Triangle- a triangle with two congruent sides Equilateral Triangle- a triangle with three congruent sides
How do you get perimeters from triangles?
The perimeter of any triangle is the sum of its 3 sides
Are 2 triangles with the same perimeter congruent?
Well if two triangles have sides of the same length, then by SSS they are congruent. In addition, if they have sides of the same length, their perimeters would be the same. So at first it seems like the answer would be yes. However, if is easy to come up with two triangles with the same perimeter whose sides do not have the same length Triangle 1 has sides 10, 15 and 30 to know if this is a triangle, we need the length of any side to be less the sum of the other two sides. So 10
Base of triangle is 10km and height is 12km what is the perimeter of this triangle?
There are many different triangles with a base of 10 km and height of 12 km, and they have different perimeters. The smallest perimeter occurs if the third vertex is directly above the midpoint of the base; then the altitude from that vertex divides the triangle into two congruent triangles with sides 5, 12, and (by the Pythagorean theorem) 13. The sides of length 12 are shared, so the perimeter of the triangle is 36 km in this case. If the third vertex is moved to one side but kept at the same height, the perimeter increases; there is no upper bound on the perimeter that can be achieved.
If the area of triangle B is 64 times greater than the area of triangle A how much greater is the perimeter of triangle B?
IF triangles 'A' and 'B' are similar (they both have the same angles),then the perimeter of 'B' is 8 times the perimeter of 'A'.If they're not similar, then the ratio of areas doesn't tell you the ratioof perimeters.
How can you say that triangles are congruent?
If the angles in each triangle are congruent
What are right triangle congruence theorem?
1.HyL Theorem (Hypotenuse-Leg) - if the hypotenuse and leg of one triangle is congruent to another triangle's hypotenuse and leg, then the triangles are congruent. 2.HyA (Hypotenuse-Angle) - if the hypotenuse and angle of one triangle is congruent to another triangle's hypotenuse and angle, then the triangles are congruent. 3.LL (Leg-Leg) if the 2 legs of one triangle is congruent to another triangle's 2 legs, then the triangles are congruent. 4.LA (Leg-Angle) if the angle and leg of one triangle is congruent to another triangle's angle and leg, then the triangles are congruent.
What two triangles which are not congruent?
No isosceles triangle in the world is congruent to any equilateral triangle. No equilateral triangle in the world is congruent to any right triangle.
What triangle has at least two congruent sides?
Isosceles Triangle Isosceles TriangleIsosceles triangles have at least 2 congruent sides, and equilateral triangles have all 3 sides equal. A scalene triangle has no congruent sides or angles. All triangles have 180 degrees total.An equilateral triangle has three congruent sides and an isosceles triangle has two congruent sides.
What are the four congruence theorems for a right triangle?
The four congruence theorem for right triangles are:- LL Congruence Theorem --> If the two legs of a right triangle is congruent to the corresponding two legs of another right triangle, then the triangles are congruent.- LA Congruence Theorem --> If a leg and an acute angle of a right triangles is congruent to the corresponding leg and acute angle of another right triangle, then the triangles are congruent.- HA Congruence Theorem --> If the hypotenuse and an acute angle of a right triangle is congruent to the corresponding hypotenuse and acute angle of another triangle, then the triangles are congruent.- HL Congruence Theorem --> If the hypotenuse and a leg of a right triangle is congruent to the corresponding hypotenuse and leg of another right triangle, then the triangles are congruent.
If the hypotenuse and leg of a triangle are congruent to the hypotenuse and leg of another triangle are the triangles congruent?
yes
Does a triangle have 2 congruent sides?
Some, but not all. Triangles with 2 congruent sides are called isoceles triangles. Triangles with 3 congruent sides are called equilateral triangles.
How do you describe triangles by the sides?
Scalene Triangle- a triangle with no congruent sides Isosceles Triangle- a triangle with two congruent sides Equilateral Triangle- a triangle with three congruent sides
