Question

in an isosceles triangle bcd shown. be is the median of the triangle. for be to be altitude of the triable as well, what should be the length of be?

Answer 1

For BE to be the altitude of the isosceles triangle BCD, it must form a right angle with base DC. The length of BE can be determined using the Pythagorean theorem.

Step-by-step explanation:

The question asks about an isosceles triangle BCD where BE is defined as the median. For BE to also be the altitude of the triangle, it must be perpendicular to the base of the triangle (DC). Because an isosceles triangle has two sides of equal length, we can use the Pythagorean theorem to calculate the length of BE. The Pythagorean theorem describes the relationship between the sides of a right triangle: a² + b² = c². In our case, if BD = CD = a and BE = b, then: b² = a² - (a/2)². Solving for b gives us the length of BE

Learn more about Pythagorean theorem in isosceles triangles