Q: If the sides of an isosceles triangle are 5 and 8 what is the third side?

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An isosceles triangle must have two sides of equal size.Since you have a side of 7 and 5, for it to be isosceles, your third side must be either 7 or 5.

Literally speaking, an isosceles triangle is one which has two sides of equal length. Generally speaking, the third side should be of a different length. [If the third side is also the same length then the triangle would be equilateral, but that may be considered a special case of an isosceles triangel.] Equality of two sides implies that the two angles at the ends of the third side are of equal measure. This may be used as a working definition of an isosceles triangle.

An equilateral triangle, by definition, has three sides of equal length. The definition for an isosceles triangle is that it must have two sides of equal length, the other side being free to have any length. Based on these two definitions, we can say that an equilateral triangle is a special case of the isosceles triangle, namely one where the third side is also equal to the other two sides.

The angles where the equal sides meet the third side of the triangle are equal angles.

Two sides of an isosceles triangle are equal. The base is the other side.

Related questions

An isosceles triangle has 3 sides 2 of which are equal in length

An isosceles triangle. It is an isosceles triangle even if the third side is shorter.

An isosceles triangle must have two sides of equal size.Since you have a side of 7 and 5, for it to be isosceles, your third side must be either 7 or 5.

An isosceles triangle has two congruent sides.

It is an isosceles triangle that has two equal sides and the third side being different

A regular polygon is one which has all equal sides. But in an isosceles triangle, only 2 sides are equal. The third side has a different measure.Thus an isosceles acute triangle is not a regular polygon.

The congruent sides of an isosceles triangle are the two sides that are equal in length. These two sides are opposite the equal angles of the triangle. The third side, called the base, is not equal in length to the other two sides.

Literally speaking, an isosceles triangle is one which has two sides of equal length. Generally speaking, the third side should be of a different length. [If the third side is also the same length then the triangle would be equilateral, but that may be considered a special case of an isosceles triangel.] Equality of two sides implies that the two angles at the ends of the third side are of equal measure. This may be used as a working definition of an isosceles triangle.

An isosceles triangle has two sides with equal measures. The third side can be any length.

This would be an isosceles triangle.

If an isosceles triangle is defined as one which has two sides (or angles) equal, then YES. But if an isosceles triangle is defined as one which has two sides (or angles) equal, and the third side (angle) different, then NO.

An equilateral triangle, by definition, has three sides of equal length. The definition for an isosceles triangle is that it must have two sides of equal length, the other side being free to have any length. Based on these two definitions, we can say that an equilateral triangle is a special case of the isosceles triangle, namely one where the third side is also equal to the other two sides.