Lvl 1

Best Answer

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.

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

Write your answer...

Submit

Still have questions?

Continue Learning about Math & Arithmetic

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.

Vertex angle

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

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

The base

Related questions

yes they do

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

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

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.

Vertex angle

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

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

The base

the top angle the angle formed by the two congruent sides

56 degrees

-- 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.

bob