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Using the trigonometry ratio for the cosine and by halving the base lenght which will result in two right angled triangles.

Then after working out the hypotenuse simply double it and add on the original base length.

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Q: When the vertex angle and the base of an isosceles triangle are given how do you find its perimeter?
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Related questions

Does isosceles triangle have a vertex angle?

yes they do


What is the angle of an isosceles triangle?

The two angles that are not the isosceles vertex are equal.


Does the angle bisector of the vertex angle of an isosceles triangle divides the triangle into two congruent?

Only if the vertex angle being bisected is between the sides of equal length will the result be two congruent triangles.


The equal angles of an isosceles triangle?

To find the equal angels, base angles, of an isosceles triangle and you know the vertex angle, 180-vertex angle and then divide by two.


The angle opposite the base angles of an isosceles triangle?

Vertex angle


An angle not congruent to the base angles of an isosceles triangle?

The base angles of an isosceles triangle are congruent. The vertex angle of an isosceles triangle is not necessarily congruent to the base angles.


The vertex angle of an isosceles triangle is twice as large as one of the base angles Find the measure of the vertex angle?

90 degrees. This is an isosceles right triangle, standing on its hypotenuse.


What is the side opposite of the vertex angle of an isosceles triangle?

The base


A base angle of an isosceles triangle is 6 degrees more than the vertex angle. Find the vertex angle?

56 degrees


What is the vertex angle on an isosceles triangle?

the top angle the angle formed by the two congruent sides


What are 2 properties of an isosceles triangle?

-- An isosceles triangle has two equal sides. -- An isosceles triangle has two equal angles. -- An isosceles triangle has two equal interior-angle bisectors. -- The bisector of the vertex angle of an isosceles triangle is also the perpendicular bisector of the triangle's base.


Does the altitude to the base of an isosceles triangle bisect the vertex angle?

bob