Help!

M

Morgan123

New member
Joined
Oct 31, 2012
Messages
1
An isosceles triangle has a vertex angle of 36 degrees. If the congruent sides are 22 in long what is the area of the triangle?
 
angle, triangle


Morgan123 said:
An isosceles triangle has a vertex angle of 36 degrees. If the congruent sides are 22 in long what is the area of the triangle?
Click to expand...

Hello. I supposed it's standard to refer to the angle opposite the non-congruent side as the "vertex angle" in an isosceles triange, yet every triangle has three vertices.

Why are you posting this exercise on the Finance Board? Is some business-math instructor trying to test your knowledge of triangle-geometry and/or trigonometry?

Let's start with what you already know or have tried. Did you get stuck somewhere?

Hints: Look at this page for "isosceles triangle"

Your "top" angle is 36 degrees

Bisecting the "top" angle results in mirror-image right-triangles with hypotenuse 22

elementary right-triangle trigonometry solves for half of the base

same approach (or Pythagorean Theorem) gives the triangle's height

multiply them together because the area of a triangle is 1/2*base*height

Questions?
 
Last edited:
You must log in or register to reply here.
Top