SOLUTION: in an isosceles triangle, the base is 14 cm long, and the legs are 13 cm long. Find the measure of the vertex angle to the nearest degree

Question 575440: in an isosceles triangle, the base is 14 cm long, and the legs are 13 cm long. Find the measure of the vertex angle to the nearest degree
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The axis altitude (or median) through the vertex splits the vertex angle into two congruent angles and splits the isosceles triangle into two congruent right triangles.

In each of those right triangles the angle at the isosceles triangle vertex is opposite a side measuring 7 cm, while the hypotenuse measures 13 cm.
--->
So to the nearest degree
RELATED QUESTIONS
An isoscles triangle has legs of length 13 cm and a base length of 6 cm. Find the measure (answered by richwmiller)

An isosceles triangle has a base of 30 cm and legs 17 cm each. What is the measure of a... (answered by Edwin McCravy)

In an isosceles triangle, the base is 30 centimeters long and the legs are each 17... (answered by ewatrrr)

The length of the altitude drawn to the base in isosceles △ABC with legs AB and BC, (answered by Boreal)

Find the length of the altitude to the base of an isosceles triangle which has congruent... (answered by rothauserc)

An isosceles triangle has a base of 20 cm and legs measuring 36 cm. How long are the legs (answered by Earlsdon)

The base of an isosceles triangle is 12 cm longer than each of its equal legs. a second... (answered by ankor@dixie-net.com)

The vertex angle of an isosceles triangle is 62. If the length of the base if 22. How... (answered by richard1234,robertb)

An isosceles triangle has a vertex angle of 80 degrees and a base of 14 cm. Find the... (answered by Fombitz)