Question

Isosceles triangle base length is 15 inches, it also has 2 congruent sides with 15 inches each. Find the height of the triangle.

Answer 1

Given Isosceles triangle base length is 15 inches, it also has 2 congruent sides with 15 inches each.

We can divide the Isosceles triangle into 2 right angled triangles whose hypotenuse is of length 15 inches, and base is the half of base length (15/2 = 7.5 inches),

Let the perpendicular is of length = h inches.

Using Pythagoras theorem:

then the height of the triangle = 13 inches(Approx).