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Since the vertex angle is 64⁰, the base angle is 58⁰, (180⁰ - 64⁰ )/2.

Using the Law of Sines we have

side length/sin 58⁰ = 3 cm/sin 64⁰ (multiply by sin 58⁰ to both sides)

side length = (3 cm)(sin 58⁰)/sin 64⁰ ≈ 2.8 cm

Thus, the congruent sides of the given isosceles triangle have a length of 2.8 cm.

Q: The base of an isosceles triangle is 3 cm in lenght and the angle opposite the base measure 64 degrees Find the lenght of each of the component sides?

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All triangles have a total of 180 degrees. In an isosceles triangle the two angles opposite the side of equal length will have equal degrees.

101 degrees :p

An obtuse triangle or a right angle triangle. An equilateral is definitely an isoceles triangle * * * * * Not true. An obtuse or right angled triangles can be isosceles. It depends on the sizes of the two smaller angles. An isosceles triangle has two equal angles so a triangle with angles of size [A, (180-A)/2, (180-A)/2] degrees where 90 < A < 180 degrees would be an obtuse angled isosceles triangle. A triangle with angles of size (90, 45, 45) degrees is a right angled isosceles triangle.

In an isosceles right angled triangle,1 angle is 90 degrees and the other two are equal ,each is 45 degrees

No, an isosceles triangle can not be a right triangle, because a right triangle has an angle of 90 degrees angle, and two angles of 45 degrees. An isosceles triangle has all acute angles, therefor, making it an acute triangle, so no, an isosceles triangle is not, i repeat not, a right triangle.

Related questions

All triangles have a total of 180 degrees. In an isosceles triangle the two angles opposite the side of equal length will have equal degrees.

because an isosceles triangle or any kind of triangle is 180 degrees.

Yes. Only if the other two angles of the right triangle are congruent and each equal 45 degrees. Then using the isosceles triangle theorem, you know that the two sides opposite the angles are congruent.

a isosceles has 180 degrees

There is 180 degrees in every triangle.

Isosceles Triangle. An isosceles triangle is a triangle with (at least) two equal sides/ angles.

The right isosceles triangle has 180 degrees as all triangles do

a right triangle

It is an obtuse angled isosceles triangle.It is an obtuse angled isosceles triangle.It is an obtuse angled isosceles triangle.It is an obtuse angled isosceles triangle.

An isosceles triangle has 3 interior angles that add up to 180 degrees, and 2 of its angles are equal and two of its sides are equal.

101 degrees :p

A triangle with two congruent sides is isosceles. A triangle with an angle of 104 degrees is obtuse. So you would have an obtuse isosceles triangle.