The base of an isosceles triangle is 2 more than one of the equal sides. If the perimeter is 41 find each side of the triangle

If all sides are equal then 2x + 5 = 4x - 3
2x = 8
x = 4

so the perimeter is 3 times either expression above
3 * (8 + 5) = 39
.

A triangle with two sides of equal length is an isosceles triangle. The side that is different from the other two is usually called the base, and the two angles at the base are equal.

Using the Pythagorean Theorem in one of the corner triangles you get
y^2=2*(x/2)^2
Thus, y=(SQRT( 2))*(x/2)
The ratio of the perimeters is equal to the ratio of the sides
P2/P1=y/x=SQRT(2)/2=1/SQRT(2)

Using the Pythagorean Theorem in one of the corner triangles you get
y^2=2*(x/2)^2
Thus, y=(SQRT( 2))*(x/2)
The ratio of the perimeters is equal to the ratio of the sides
P2/P1=y/x=SQRT(2)/2=1/SQRT(2)

A contradiction is what. An equilateral triangle has 3 equal sides, and therefore equal angles. An isosceles triangle has 2 equal sides and one shorter or longer..

Having 2 equal sides...

http://www.math-salamanders.com/image-files/math-worksheets-printable-isosceles-triangles-bw.gif

You need 5 isosceles triangles with a base of 30 mm. To get the height of the triangles (perpendicular to the 30 mm bases) you need to calculate the apothem of the pentagon (assumed to be regular).

If you cut the pyramid by a plane passing through its apex, the center of the base-pentagon,and the midpoint of one side, the plane figure created by the three points (apex, center, and midpoint) is a right triangle. The legs are the apothem, and the altitude of the pyramid. The hypotenuse is the slant height of the pyramid, and is thus the height of the triangles in the development. pyramid (60 mm) form.
Use the Pythagorean Theorem to find that slant height.
s^2=a^2+h^2.

Well, there is classification by sides, equilateral with 3 equal sides, Isosceles with two equal sides, and scalene with no equal sides, but you talk about angles, but I wanted to point out equilaterals have 3 equal angles, isoceles have 2 equal angles and scalene have no equal angles.
So, now we talk about angles: a Right trianlge has one angle that is 90 degrees, an Obtuse triangle has one angle greater than 90 degrees, and an Acute has no angles over 90 degrees.
Thus, it is possible to have a (scalene or isoceles) AND (acute, obtuse, or right) triangle, but never an equilateral AND (obtuse or right). The angles can't be equal and 90+ degrees if all three must equal 180 degrees.

Are you trying to be funny, or did you misunderstand the nature of this site?