Consider the triangle below, where the vertex angle measures the equal sides measure a
Chapter 7, Problem 61(choose chapter or problem)
Consider the triangle below, where the vertex angle measures the equal sides measure a, the height is h, and half the base is b. (In an isosceles triangle, the perpendicular dropped from the vertex angle divides the triangle into two congruent triangles.) The two triangles formed are right triangles. In the right triangles, and Multiply each side of each equation by a to get The area of the entire isosceles triangle is Substitute the values for b and h into the area formula. Show that the area is equivalent to
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